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Finding the Fourth Proportional to 2,103.54, 3,155.10 and 642.72

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Solution

The fourth proportional to 2,103.54, 3,155.10 and 642.72 is: 964.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.54 : 3,155.10 = 642.72 : x
  2. Step 2: Convert to fraction form
    2,103.54/3,155.10 = 642.72/x
  3. Step 3: Cross multiply
    2,103.54x = 3,155.10 × 642.72
  4. Step 4: Simplify right side
    2,103.54x = 2,027,845.87
  5. Step 5: Solve for x
    x = 2,027,845.87/2,103.54
  6. Step 6: Final answer
    x = 964.02

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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.