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Finding the Fourth Proportional to 2,031.14, 3,046.74 and 732.74

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Solution

The fourth proportional to 2,031.14, 3,046.74 and 732.74 is: 1,099.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.14 : 3,046.74 = 732.74 : x
  2. Step 2: Convert to fraction form
    2,031.14/3,046.74 = 732.74/x
  3. Step 3: Cross multiply
    2,031.14x = 3,046.74 × 732.74
  4. Step 4: Simplify right side
    2,031.14x = 2,232,468.27
  5. Step 5: Solve for x
    x = 2,232,468.27/2,031.14
  6. Step 6: Final answer
    x = 1,099.12

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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.