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Finding the Fourth Proportional to 2,031.38, 3,047.07 and 732.14

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Solution

The fourth proportional to 2,031.38, 3,047.07 and 732.14 is: 1,098.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.38 : 3,047.07 = 732.14 : x
  2. Step 2: Convert to fraction form
    2,031.38/3,047.07 = 732.14/x
  3. Step 3: Cross multiply
    2,031.38x = 3,047.07 × 732.14
  4. Step 4: Simplify right side
    2,031.38x = 2,230,881.83
  5. Step 5: Solve for x
    x = 2,230,881.83/2,031.38
  6. Step 6: Final answer
    x = 1,098.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.