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Finding the Fourth Proportional to 2,456.88, 3,679.93 and 2,264.84

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Solution

The fourth proportional to 2,456.88, 3,679.93 and 2,264.84 is: 3,392.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.88 : 3,679.93 = 2,264.84 : x
  2. Step 2: Convert to fraction form
    2,456.88/3,679.93 = 2,264.84/x
  3. Step 3: Cross multiply
    2,456.88x = 3,679.93 × 2,264.84
  4. Step 4: Simplify right side
    2,456.88x = 8,334,452.66
  5. Step 5: Solve for x
    x = 8,334,452.66/2,456.88
  6. Step 6: Final answer
    x = 3,392.29

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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.