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Finding the Fourth Proportional to 2,729.02, 3,766.01 and 1,487.02

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Solution

The fourth proportional to 2,729.02, 3,766.01 and 1,487.02 is: 2,052.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.02 : 3,766.01 = 1,487.02 : x
  2. Step 2: Convert to fraction form
    2,729.02/3,766.01 = 1,487.02/x
  3. Step 3: Cross multiply
    2,729.02x = 3,766.01 × 1,487.02
  4. Step 4: Simplify right side
    2,729.02x = 5,600,132.19
  5. Step 5: Solve for x
    x = 5,600,132.19/2,729.02
  6. Step 6: Final answer
    x = 2,052.07

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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.