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Finding the Fourth Proportional to 3,062.26, 4,593.40 and 870.98

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Solution

The fourth proportional to 3,062.26, 4,593.40 and 870.98 is: 1,306.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,062.26 : 4,593.40 = 870.98 : x
  2. Step 2: Convert to fraction form
    3,062.26/4,593.40 = 870.98/x
  3. Step 3: Cross multiply
    3,062.26x = 4,593.40 × 870.98
  4. Step 4: Simplify right side
    3,062.26x = 4,000,759.53
  5. Step 5: Solve for x
    x = 4,000,759.53/3,062.26
  6. Step 6: Final answer
    x = 1,306.47

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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.