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Finding the Fourth Proportional to 4,170.90, 6,255.95 and 1,092.90

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Solution

The fourth proportional to 4,170.90, 6,255.95 and 1,092.90 is: 1,639.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.90 : 6,255.95 = 1,092.90 : x
  2. Step 2: Convert to fraction form
    4,170.90/6,255.95 = 1,092.90/x
  3. Step 3: Cross multiply
    4,170.90x = 6,255.95 × 1,092.90
  4. Step 4: Simplify right side
    4,170.90x = 6,837,122.29
  5. Step 5: Solve for x
    x = 6,837,122.29/4,170.90
  6. Step 6: Final answer
    x = 1,639.24

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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.