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Finding the Fourth Proportional to 2,294.41, 3,436.14 and 1,252.85

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Solution

The fourth proportional to 2,294.41, 3,436.14 and 1,252.85 is: 1,876.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.41 : 3,436.14 = 1,252.85 : x
  2. Step 2: Convert to fraction form
    2,294.41/3,436.14 = 1,252.85/x
  3. Step 3: Cross multiply
    2,294.41x = 3,436.14 × 1,252.85
  4. Step 4: Simplify right side
    2,294.41x = 4,304,968.00
  5. Step 5: Solve for x
    x = 4,304,968.00/2,294.41
  6. Step 6: Final answer
    x = 1,876.29

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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.