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Finding the Fourth Proportional to 2,103.16, 3,155.23 and 642.31

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Solution

The fourth proportional to 2,103.16, 3,155.23 and 642.31 is: 963.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.16 : 3,155.23 = 642.31 : x
  2. Step 2: Convert to fraction form
    2,103.16/3,155.23 = 642.31/x
  3. Step 3: Cross multiply
    2,103.16x = 3,155.23 × 642.31
  4. Step 4: Simplify right side
    2,103.16x = 2,026,635.78
  5. Step 5: Solve for x
    x = 2,026,635.78/2,103.16
  6. Step 6: Final answer
    x = 963.61

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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.