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Finding the Fourth Proportional to 2,257.74, 3,115.07 and 1,549.80

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Solution

The fourth proportional to 2,257.74, 3,115.07 and 1,549.80 is: 2,138.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.74 : 3,115.07 = 1,549.80 : x
  2. Step 2: Convert to fraction form
    2,257.74/3,115.07 = 1,549.80/x
  3. Step 3: Cross multiply
    2,257.74x = 3,115.07 × 1,549.80
  4. Step 4: Simplify right side
    2,257.74x = 4,827,735.49
  5. Step 5: Solve for x
    x = 4,827,735.49/2,257.74
  6. Step 6: Final answer
    x = 2,138.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.