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Finding the Fourth Proportional to 2,667.16, 3,682.05 and 1,673.44

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Solution

The fourth proportional to 2,667.16, 3,682.05 and 1,673.44 is: 2,310.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.16 : 3,682.05 = 1,673.44 : x
  2. Step 2: Convert to fraction form
    2,667.16/3,682.05 = 1,673.44/x
  3. Step 3: Cross multiply
    2,667.16x = 3,682.05 × 1,673.44
  4. Step 4: Simplify right side
    2,667.16x = 6,161,681.38
  5. Step 5: Solve for x
    x = 6,161,681.38/2,667.16
  6. Step 6: Final answer
    x = 2,310.20

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Half scale
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Double scale
Find fourth proportional to 2,668.16, 3,683.43 and 1,674.44
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.