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Finding the Fourth Proportional to 2,103.46, 3,155.27 and 642.62

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Solution

The fourth proportional to 2,103.46, 3,155.27 and 642.62 is: 963.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.46 : 3,155.27 = 642.62 : x
  2. Step 2: Convert to fraction form
    2,103.46/3,155.27 = 642.62/x
  3. Step 3: Cross multiply
    2,103.46x = 3,155.27 × 642.62
  4. Step 4: Simplify right side
    2,103.46x = 2,027,644.28
  5. Step 5: Solve for x
    x = 2,027,644.28/2,103.46
  6. Step 6: Final answer
    x = 963.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.