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Finding the Fourth Proportional to 2,128.32, 3,190.22 and 1,031.18

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Solution

The fourth proportional to 2,128.32, 3,190.22 and 1,031.18 is: 1,545.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.32 : 3,190.22 = 1,031.18 : x
  2. Step 2: Convert to fraction form
    2,128.32/3,190.22 = 1,031.18/x
  3. Step 3: Cross multiply
    2,128.32x = 3,190.22 × 1,031.18
  4. Step 4: Simplify right side
    2,128.32x = 3,289,691.06
  5. Step 5: Solve for x
    x = 3,289,691.06/2,128.32
  6. Step 6: Final answer
    x = 1,545.68

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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.