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Finding the Fourth Proportional to 1,224.72, 1,686.04 and 1,142.02

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Solution

The fourth proportional to 1,224.72, 1,686.04 and 1,142.02 is: 1,572.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.72 : 1,686.04 = 1,142.02 : x
  2. Step 2: Convert to fraction form
    1,224.72/1,686.04 = 1,142.02/x
  3. Step 3: Cross multiply
    1,224.72x = 1,686.04 × 1,142.02
  4. Step 4: Simplify right side
    1,224.72x = 1,925,498.61
  5. Step 5: Solve for x
    x = 1,925,498.61/1,224.72
  6. Step 6: Final answer
    x = 1,572.19

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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.