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Finding the Fourth Proportional to 2,145.32, 3,217.02 and 1,105.90

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Solution

The fourth proportional to 2,145.32, 3,217.02 and 1,105.90 is: 1,658.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.32 : 3,217.02 = 1,105.90 : x
  2. Step 2: Convert to fraction form
    2,145.32/3,217.02 = 1,105.90/x
  3. Step 3: Cross multiply
    2,145.32x = 3,217.02 × 1,105.90
  4. Step 4: Simplify right side
    2,145.32x = 3,557,702.42
  5. Step 5: Solve for x
    x = 3,557,702.42/2,145.32
  6. Step 6: Final answer
    x = 1,658.36

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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.