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Finding the Fourth Proportional to 2,103.37, 3,155.15 and 642.53

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Solution

The fourth proportional to 2,103.37, 3,155.15 and 642.53 is: 963.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.37 : 3,155.15 = 642.53 : x
  2. Step 2: Convert to fraction form
    2,103.37/3,155.15 = 642.53/x
  3. Step 3: Cross multiply
    2,103.37x = 3,155.15 × 642.53
  4. Step 4: Simplify right side
    2,103.37x = 2,027,288.02
  5. Step 5: Solve for x
    x = 2,027,288.02/2,103.37
  6. Step 6: Final answer
    x = 963.83

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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.