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Finding the Fourth Proportional to 2,454.33, 3,681.49 and 994.50

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Solution

The fourth proportional to 2,454.33, 3,681.49 and 994.50 is: 1,491.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.33 : 3,681.49 = 994.50 : x
  2. Step 2: Convert to fraction form
    2,454.33/3,681.49 = 994.50/x
  3. Step 3: Cross multiply
    2,454.33x = 3,681.49 × 994.50
  4. Step 4: Simplify right side
    2,454.33x = 3,661,241.81
  5. Step 5: Solve for x
    x = 3,661,241.81/2,454.33
  6. Step 6: Final answer
    x = 1,491.75

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.