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Finding the Fourth Proportional to 2,294.57, 3,441.74 and 1,554.49

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Solution

The fourth proportional to 2,294.57, 3,441.74 and 1,554.49 is: 2,331.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.57 : 3,441.74 = 1,554.49 : x
  2. Step 2: Convert to fraction form
    2,294.57/3,441.74 = 1,554.49/x
  3. Step 3: Cross multiply
    2,294.57x = 3,441.74 × 1,554.49
  4. Step 4: Simplify right side
    2,294.57x = 5,350,146.94
  5. Step 5: Solve for x
    x = 5,350,146.94/2,294.57
  6. Step 6: Final answer
    x = 2,331.65

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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.