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Finding the Fourth Proportional to 2,882.68, 4,324.62 and 934.74

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Solution

The fourth proportional to 2,882.68, 4,324.62 and 934.74 is: 1,402.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.68 : 4,324.62 = 934.74 : x
  2. Step 2: Convert to fraction form
    2,882.68/4,324.62 = 934.74/x
  3. Step 3: Cross multiply
    2,882.68x = 4,324.62 × 934.74
  4. Step 4: Simplify right side
    2,882.68x = 4,042,395.30
  5. Step 5: Solve for x
    x = 4,042,395.30/2,882.68
  6. Step 6: Final answer
    x = 1,402.30

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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.