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Finding the Fourth Proportional to 3,122.73, 4,679.96 and 1,146.53

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Solution

The fourth proportional to 3,122.73, 4,679.96 and 1,146.53 is: 1,718.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.73 : 4,679.96 = 1,146.53 : x
  2. Step 2: Convert to fraction form
    3,122.73/4,679.96 = 1,146.53/x
  3. Step 3: Cross multiply
    3,122.73x = 4,679.96 × 1,146.53
  4. Step 4: Simplify right side
    3,122.73x = 5,365,685.41
  5. Step 5: Solve for x
    x = 5,365,685.41/3,122.73
  6. Step 6: Final answer
    x = 1,718.27

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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.