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Finding the Fourth Proportional to 2,624.88, 3,625.44 and 2,414.28

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Solution

The fourth proportional to 2,624.88, 3,625.44 and 2,414.28 is: 3,334.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.88 : 3,625.44 = 2,414.28 : x
  2. Step 2: Convert to fraction form
    2,624.88/3,625.44 = 2,414.28/x
  3. Step 3: Cross multiply
    2,624.88x = 3,625.44 × 2,414.28
  4. Step 4: Simplify right side
    2,624.88x = 8,752,827.28
  5. Step 5: Solve for x
    x = 8,752,827.28/2,624.88
  6. Step 6: Final answer
    x = 3,334.56

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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.