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Finding the Fourth Proportional to 2,130.71, 3,191.81 and 1,031.74

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Solution

The fourth proportional to 2,130.71, 3,191.81 and 1,031.74 is: 1,545.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.71 : 3,191.81 = 1,031.74 : x
  2. Step 2: Convert to fraction form
    2,130.71/3,191.81 = 1,031.74/x
  3. Step 3: Cross multiply
    2,130.71x = 3,191.81 × 1,031.74
  4. Step 4: Simplify right side
    2,130.71x = 3,293,104.91
  5. Step 5: Solve for x
    x = 3,293,104.91/2,130.71
  6. Step 6: Final answer
    x = 1,545.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.