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Finding the Fourth Proportional to 3,354.32, 5,031.61 and 1,598.42

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Solution

The fourth proportional to 3,354.32, 5,031.61 and 1,598.42 is: 2,397.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354.32 : 5,031.61 = 1,598.42 : x
  2. Step 2: Convert to fraction form
    3,354.32/5,031.61 = 1,598.42/x
  3. Step 3: Cross multiply
    3,354.32x = 5,031.61 × 1,598.42
  4. Step 4: Simplify right side
    3,354.32x = 8,042,626.06
  5. Step 5: Solve for x
    x = 8,042,626.06/3,354.32
  6. Step 6: Final answer
    x = 2,397.69

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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.