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Finding the Fourth Proportional to 2,248.74, 3,370.88 and 1,078.40

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Solution

The fourth proportional to 2,248.74, 3,370.88 and 1,078.40 is: 1,616.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.74 : 3,370.88 = 1,078.40 : x
  2. Step 2: Convert to fraction form
    2,248.74/3,370.88 = 1,078.40/x
  3. Step 3: Cross multiply
    2,248.74x = 3,370.88 × 1,078.40
  4. Step 4: Simplify right side
    2,248.74x = 3,635,156.99
  5. Step 5: Solve for x
    x = 3,635,156.99/2,248.74
  6. Step 6: Final answer
    x = 1,616.53

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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.