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Finding the Fourth Proportional to 2,103.72, 3,155.63 and 642.88

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Solution

The fourth proportional to 2,103.72, 3,155.63 and 642.88 is: 964.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.72 : 3,155.63 = 642.88 : x
  2. Step 2: Convert to fraction form
    2,103.72/3,155.63 = 642.88/x
  3. Step 3: Cross multiply
    2,103.72x = 3,155.63 × 642.88
  4. Step 4: Simplify right side
    2,103.72x = 2,028,691.41
  5. Step 5: Solve for x
    x = 2,028,691.41/2,103.72
  6. Step 6: Final answer
    x = 964.34

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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.