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Finding the Fourth Proportional to 1,592.87, 2,198.85 and 1,239.76

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Solution

The fourth proportional to 1,592.87, 2,198.85 and 1,239.76 is: 1,711.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.87 : 2,198.85 = 1,239.76 : x
  2. Step 2: Convert to fraction form
    1,592.87/2,198.85 = 1,239.76/x
  3. Step 3: Cross multiply
    1,592.87x = 2,198.85 × 1,239.76
  4. Step 4: Simplify right side
    1,592.87x = 2,726,032.01
  5. Step 5: Solve for x
    x = 2,726,032.01/1,592.87
  6. Step 6: Final answer
    x = 1,711.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.