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Finding the Fourth Proportional to 2,542.72, 3,810.60 and 981.04

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Solution

The fourth proportional to 2,542.72, 3,810.60 and 981.04 is: 1,470.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.72 : 3,810.60 = 981.04 : x
  2. Step 2: Convert to fraction form
    2,542.72/3,810.60 = 981.04/x
  3. Step 3: Cross multiply
    2,542.72x = 3,810.60 × 981.04
  4. Step 4: Simplify right side
    2,542.72x = 3,738,351.02
  5. Step 5: Solve for x
    x = 3,738,351.02/2,542.72
  6. Step 6: Final answer
    x = 1,470.22

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