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Finding the Fourth Proportional to 2,497.60, 3,741.92 and 2,254.40

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Solution

The fourth proportional to 2,497.60, 3,741.92 and 2,254.40 is: 3,377.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.60 : 3,741.92 = 2,254.40 : x
  2. Step 2: Convert to fraction form
    2,497.60/3,741.92 = 2,254.40/x
  3. Step 3: Cross multiply
    2,497.60x = 3,741.92 × 2,254.40
  4. Step 4: Simplify right side
    2,497.60x = 8,435,784.45
  5. Step 5: Solve for x
    x = 8,435,784.45/2,497.60
  6. Step 6: Final answer
    x = 3,377.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.