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Finding the Fourth Proportional to 2,384.75, 3,573.17 and 1,687.97

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Solution

The fourth proportional to 2,384.75, 3,573.17 and 1,687.97 is: 2,529.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.75 : 3,573.17 = 1,687.97 : x
  2. Step 2: Convert to fraction form
    2,384.75/3,573.17 = 1,687.97/x
  3. Step 3: Cross multiply
    2,384.75x = 3,573.17 × 1,687.97
  4. Step 4: Simplify right side
    2,384.75x = 6,031,377.46
  5. Step 5: Solve for x
    x = 6,031,377.46/2,384.75
  6. Step 6: Final answer
    x = 2,529.15

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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.