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Finding the Fourth Proportional to 1,426.98, 2,140.17 and 452.85

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Solution

The fourth proportional to 1,426.98, 2,140.17 and 452.85 is: 679.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.98 : 2,140.17 = 452.85 : x
  2. Step 2: Convert to fraction form
    1,426.98/2,140.17 = 452.85/x
  3. Step 3: Cross multiply
    1,426.98x = 2,140.17 × 452.85
  4. Step 4: Simplify right side
    1,426.98x = 969,175.98
  5. Step 5: Solve for x
    x = 969,175.98/1,426.98
  6. Step 6: Final answer
    x = 679.18

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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.