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Finding the Fourth Proportional to 2,425.92, 3,342.24 and 2,261.76

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Solution

The fourth proportional to 2,425.92, 3,342.24 and 2,261.76 is: 3,116.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.92 : 3,342.24 = 2,261.76 : x
  2. Step 2: Convert to fraction form
    2,425.92/3,342.24 = 2,261.76/x
  3. Step 3: Cross multiply
    2,425.92x = 3,342.24 × 2,261.76
  4. Step 4: Simplify right side
    2,425.92x = 7,559,344.74
  5. Step 5: Solve for x
    x = 7,559,344.74/2,425.92
  6. Step 6: Final answer
    x = 3,116.07

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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.