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Finding the Fourth Proportional to 1,787.97, 2,682.02 and 538.62

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Solution

The fourth proportional to 1,787.97, 2,682.02 and 538.62 is: 807.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.97 : 2,682.02 = 538.62 : x
  2. Step 2: Convert to fraction form
    1,787.97/2,682.02 = 538.62/x
  3. Step 3: Cross multiply
    1,787.97x = 2,682.02 × 538.62
  4. Step 4: Simplify right side
    1,787.97x = 1,444,586.92
  5. Step 5: Solve for x
    x = 1,444,586.92/1,787.97
  6. Step 6: Final answer
    x = 807.95

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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.