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Finding the Fourth Proportional to 1,609.12, 2,414.64 and 1,031.20

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Solution

The fourth proportional to 1,609.12, 2,414.64 and 1,031.20 is: 1,547.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.12 : 2,414.64 = 1,031.20 : x
  2. Step 2: Convert to fraction form
    1,609.12/2,414.64 = 1,031.20/x
  3. Step 3: Cross multiply
    1,609.12x = 2,414.64 × 1,031.20
  4. Step 4: Simplify right side
    1,609.12x = 2,489,976.77
  5. Step 5: Solve for x
    x = 2,489,976.77/1,609.12
  6. Step 6: Final answer
    x = 1,547.42

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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.