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Finding the Fourth Proportional to 2,408.32, 3,618.88 and 2,252.80

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Solution

The fourth proportional to 2,408.32, 3,618.88 and 2,252.80 is: 3,385.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.32 : 3,618.88 = 2,252.80 : x
  2. Step 2: Convert to fraction form
    2,408.32/3,618.88 = 2,252.80/x
  3. Step 3: Cross multiply
    2,408.32x = 3,618.88 × 2,252.80
  4. Step 4: Simplify right side
    2,408.32x = 8,152,612.86
  5. Step 5: Solve for x
    x = 8,152,612.86/2,408.32
  6. Step 6: Final answer
    x = 3,385.19

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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.