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Finding the Fourth Proportional to 1,787.20, 2,678.97 and 632.14

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Solution

The fourth proportional to 1,787.20, 2,678.97 and 632.14 is: 947.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.20 : 2,678.97 = 632.14 : x
  2. Step 2: Convert to fraction form
    1,787.20/2,678.97 = 632.14/x
  3. Step 3: Cross multiply
    1,787.20x = 2,678.97 × 632.14
  4. Step 4: Simplify right side
    1,787.20x = 1,693,484.10
  5. Step 5: Solve for x
    x = 1,693,484.10/1,787.20
  6. Step 6: Final answer
    x = 947.56

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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.