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Finding the Fourth Proportional to 2,103.25, 3,155.51 and 642.41

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Solution

The fourth proportional to 2,103.25, 3,155.51 and 642.41 is: 963.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.25 : 3,155.51 = 642.41 : x
  2. Step 2: Convert to fraction form
    2,103.25/3,155.51 = 642.41/x
  3. Step 3: Cross multiply
    2,103.25x = 3,155.51 × 642.41
  4. Step 4: Simplify right side
    2,103.25x = 2,027,131.18
  5. Step 5: Solve for x
    x = 2,027,131.18/2,103.25
  6. Step 6: Final answer
    x = 963.81

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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.