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Finding the Fourth Proportional to 2,102.91, 3,154.28 and 642.17

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Solution

The fourth proportional to 2,102.91, 3,154.28 and 642.17 is: 963.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.91 : 3,154.28 = 642.17 : x
  2. Step 2: Convert to fraction form
    2,102.91/3,154.28 = 642.17/x
  3. Step 3: Cross multiply
    2,102.91x = 3,154.28 × 642.17
  4. Step 4: Simplify right side
    2,102.91x = 2,025,565.01
  5. Step 5: Solve for x
    x = 2,025,565.01/2,102.91
  6. Step 6: Final answer
    x = 963.22

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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.