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Finding the Fourth Proportional to 2,667.74, 3,683.07 and 1,673.87

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Solution

The fourth proportional to 2,667.74, 3,683.07 and 1,673.87 is: 2,310.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.74 : 3,683.07 = 1,673.87 : x
  2. Step 2: Convert to fraction form
    2,667.74/3,683.07 = 1,673.87/x
  3. Step 3: Cross multiply
    2,667.74x = 3,683.07 × 1,673.87
  4. Step 4: Simplify right side
    2,667.74x = 6,164,961.97
  5. Step 5: Solve for x
    x = 6,164,961.97/2,667.74
  6. Step 6: Final answer
    x = 2,310.93

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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.