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Finding the Fourth Proportional to 2,103.50, 3,155.12 and 642.54

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Solution

The fourth proportional to 2,103.50, 3,155.12 and 642.54 is: 963.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.50 : 3,155.12 = 642.54 : x
  2. Step 2: Convert to fraction form
    2,103.50/3,155.12 = 642.54/x
  3. Step 3: Cross multiply
    2,103.50x = 3,155.12 × 642.54
  4. Step 4: Simplify right side
    2,103.50x = 2,027,275.03
  5. Step 5: Solve for x
    x = 2,027,275.03/2,103.50
  6. Step 6: Final answer
    x = 963.76

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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.