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Finding the Fourth Proportional to 2,257.74, 3,382.56 and 1,515.60

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Solution

The fourth proportional to 2,257.74, 3,382.56 and 1,515.60 is: 2,270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.74 : 3,382.56 = 1,515.60 : x
  2. Step 2: Convert to fraction form
    2,257.74/3,382.56 = 1,515.60/x
  3. Step 3: Cross multiply
    2,257.74x = 3,382.56 × 1,515.60
  4. Step 4: Simplify right side
    2,257.74x = 5,126,607.94
  5. Step 5: Solve for x
    x = 5,126,607.94/2,257.74
  6. Step 6: Final answer
    x = 2,270.68

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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.