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Finding the Fourth Proportional to 2,031.08, 3,046.62 and 732.55

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Solution

The fourth proportional to 2,031.08, 3,046.62 and 732.55 is: 1,098.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.08 : 3,046.62 = 732.55 : x
  2. Step 2: Convert to fraction form
    2,031.08/3,046.62 = 732.55/x
  3. Step 3: Cross multiply
    2,031.08x = 3,046.62 × 732.55
  4. Step 4: Simplify right side
    2,031.08x = 2,231,782.59
  5. Step 5: Solve for x
    x = 2,231,782.59/2,031.08
  6. Step 6: Final answer
    x = 1,098.82

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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.