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Finding the Fourth Proportional to 1,817.71, 2,507.87 and 1,031.61

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Solution

The fourth proportional to 1,817.71, 2,507.87 and 1,031.61 is: 1,423.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.71 : 2,507.87 = 1,031.61 : x
  2. Step 2: Convert to fraction form
    1,817.71/2,507.87 = 1,031.61/x
  3. Step 3: Cross multiply
    1,817.71x = 2,507.87 × 1,031.61
  4. Step 4: Simplify right side
    1,817.71x = 2,587,143.77
  5. Step 5: Solve for x
    x = 2,587,143.77/1,817.71
  6. Step 6: Final answer
    x = 1,423.30

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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.