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Finding the Fourth Proportional to 2,872.24, 4,308.24 and 1,116.76

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Solution

The fourth proportional to 2,872.24, 4,308.24 and 1,116.76 is: 1,675.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.24 : 4,308.24 = 1,116.76 : x
  2. Step 2: Convert to fraction form
    2,872.24/4,308.24 = 1,116.76/x
  3. Step 3: Cross multiply
    2,872.24x = 4,308.24 × 1,116.76
  4. Step 4: Simplify right side
    2,872.24x = 4,811,270.10
  5. Step 5: Solve for x
    x = 4,811,270.10/2,872.24
  6. Step 6: Final answer
    x = 1,675.09

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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.