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Finding the Fourth Proportional to 2,456.58, 3,679.88 and 1,963.82

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Solution

The fourth proportional to 2,456.58, 3,679.88 and 1,963.82 is: 2,941.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.58 : 3,679.88 = 1,963.82 : x
  2. Step 2: Convert to fraction form
    2,456.58/3,679.88 = 1,963.82/x
  3. Step 3: Cross multiply
    2,456.58x = 3,679.88 × 1,963.82
  4. Step 4: Simplify right side
    2,456.58x = 7,226,593.72
  5. Step 5: Solve for x
    x = 7,226,593.72/2,456.58
  6. Step 6: Final answer
    x = 2,941.73

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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.