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Finding the Fourth Proportional to 2,478.90, 3,718.86 and 2,249.28

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Solution

The fourth proportional to 2,478.90, 3,718.86 and 2,249.28 is: 3,374.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.90 : 3,718.86 = 2,249.28 : x
  2. Step 2: Convert to fraction form
    2,478.90/3,718.86 = 2,249.28/x
  3. Step 3: Cross multiply
    2,478.90x = 3,718.86 × 2,249.28
  4. Step 4: Simplify right side
    2,478.90x = 8,364,757.42
  5. Step 5: Solve for x
    x = 8,364,757.42/2,478.90
  6. Step 6: Final answer
    x = 3,374.38

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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.