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Finding the Fourth Proportional to 2,937.52, 4,402.92 and 1,204

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Solution

The fourth proportional to 2,937.52, 4,402.92 and 1,204 is: 1,804.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.52 : 4,402.92 = 1,204 : x
  2. Step 2: Convert to fraction form
    2,937.52/4,402.92 = 1,204/x
  3. Step 3: Cross multiply
    2,937.52x = 4,402.92 × 1,204
  4. Step 4: Simplify right side
    2,937.52x = 5,301,115.68
  5. Step 5: Solve for x
    x = 5,301,115.68/2,937.52
  6. Step 6: Final answer
    x = 1,804.62

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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.