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Finding the Fourth Proportional to 2,757.16, 4,154.70 and 2,280.88

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Solution

The fourth proportional to 2,757.16, 4,154.70 and 2,280.88 is: 3,437.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.16 : 4,154.70 = 2,280.88 : x
  2. Step 2: Convert to fraction form
    2,757.16/4,154.70 = 2,280.88/x
  3. Step 3: Cross multiply
    2,757.16x = 4,154.70 × 2,280.88
  4. Step 4: Simplify right side
    2,757.16x = 9,476,372.14
  5. Step 5: Solve for x
    x = 9,476,372.14/2,757.16
  6. Step 6: Final answer
    x = 3,437.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.