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Finding the Fourth Proportional to 2,129.30, 3,190.35 and 1,031.30

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Solution

The fourth proportional to 2,129.30, 3,190.35 and 1,031.30 is: 1,545.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.30 : 3,190.35 = 1,031.30 : x
  2. Step 2: Convert to fraction form
    2,129.30/3,190.35 = 1,031.30/x
  3. Step 3: Cross multiply
    2,129.30x = 3,190.35 × 1,031.30
  4. Step 4: Simplify right side
    2,129.30x = 3,290,207.96
  5. Step 5: Solve for x
    x = 3,290,207.96/2,129.30
  6. Step 6: Final answer
    x = 1,545.21

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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.