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Finding the Fourth Proportional to 2,818.32, 4,241.16 and 2,549.76

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Solution

The fourth proportional to 2,818.32, 4,241.16 and 2,549.76 is: 3,837.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.32 : 4,241.16 = 2,549.76 : x
  2. Step 2: Convert to fraction form
    2,818.32/4,241.16 = 2,549.76/x
  3. Step 3: Cross multiply
    2,818.32x = 4,241.16 × 2,549.76
  4. Step 4: Simplify right side
    2,818.32x = 10,813,940.12
  5. Step 5: Solve for x
    x = 10,813,940.12/2,818.32
  6. Step 6: Final answer
    x = 3,837.02

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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.