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Finding the Fourth Proportional to 1,552.43, 2,142.89 and 931.43

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Solution

The fourth proportional to 1,552.43, 2,142.89 and 931.43 is: 1,285.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.43 : 2,142.89 = 931.43 : x
  2. Step 2: Convert to fraction form
    1,552.43/2,142.89 = 931.43/x
  3. Step 3: Cross multiply
    1,552.43x = 2,142.89 × 931.43
  4. Step 4: Simplify right side
    1,552.43x = 1,995,936.66
  5. Step 5: Solve for x
    x = 1,995,936.66/1,552.43
  6. Step 6: Final answer
    x = 1,285.69

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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.