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Finding the Fourth Proportional to 2,658.73, 3,988.23 and 1,014.97

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Solution

The fourth proportional to 2,658.73, 3,988.23 and 1,014.97 is: 1,522.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.73 : 3,988.23 = 1,014.97 : x
  2. Step 2: Convert to fraction form
    2,658.73/3,988.23 = 1,014.97/x
  3. Step 3: Cross multiply
    2,658.73x = 3,988.23 × 1,014.97
  4. Step 4: Simplify right side
    2,658.73x = 4,047,933.80
  5. Step 5: Solve for x
    x = 4,047,933.80/2,658.73
  6. Step 6: Final answer
    x = 1,522.51

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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.