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Finding the Fourth Proportional to 1,869.02, 2,803.92 and 932.48

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Solution

The fourth proportional to 1,869.02, 2,803.92 and 932.48 is: 1,398.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.02 : 2,803.92 = 932.48 : x
  2. Step 2: Convert to fraction form
    1,869.02/2,803.92 = 932.48/x
  3. Step 3: Cross multiply
    1,869.02x = 2,803.92 × 932.48
  4. Step 4: Simplify right side
    1,869.02x = 2,614,585.30
  5. Step 5: Solve for x
    x = 2,614,585.30/1,869.02
  6. Step 6: Final answer
    x = 1,398.91

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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.