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Finding the Fourth Proportional to 1,242.51, 1,861.02 and 1,127.70

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Solution

The fourth proportional to 1,242.51, 1,861.02 and 1,127.70 is: 1,689.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.51 : 1,861.02 = 1,127.70 : x
  2. Step 2: Convert to fraction form
    1,242.51/1,861.02 = 1,127.70/x
  3. Step 3: Cross multiply
    1,242.51x = 1,861.02 × 1,127.70
  4. Step 4: Simplify right side
    1,242.51x = 2,098,672.25
  5. Step 5: Solve for x
    x = 2,098,672.25/1,242.51
  6. Step 6: Final answer
    x = 1,689.06

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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.