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Finding the Fourth Proportional to 1,542.73, 2,127.13 and 1,070.26

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Solution

The fourth proportional to 1,542.73, 2,127.13 and 1,070.26 is: 1,475.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.73 : 2,127.13 = 1,070.26 : x
  2. Step 2: Convert to fraction form
    1,542.73/2,127.13 = 1,070.26/x
  3. Step 3: Cross multiply
    1,542.73x = 2,127.13 × 1,070.26
  4. Step 4: Simplify right side
    1,542.73x = 2,276,586.13
  5. Step 5: Solve for x
    x = 2,276,586.13/1,542.73
  6. Step 6: Final answer
    x = 1,475.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.