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Finding the Fourth Proportional to 1,731.79, 2,390.16 and 1,142.29

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Solution

The fourth proportional to 1,731.79, 2,390.16 and 1,142.29 is: 1,576.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.79 : 2,390.16 = 1,142.29 : x
  2. Step 2: Convert to fraction form
    1,731.79/2,390.16 = 1,142.29/x
  3. Step 3: Cross multiply
    1,731.79x = 2,390.16 × 1,142.29
  4. Step 4: Simplify right side
    1,731.79x = 2,730,255.87
  5. Step 5: Solve for x
    x = 2,730,255.87/1,731.79
  6. Step 6: Final answer
    x = 1,576.55

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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.