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Finding the Fourth Proportional to 2,876.24, 4,315.68 and 2,147.24

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Solution

The fourth proportional to 2,876.24, 4,315.68 and 2,147.24 is: 3,221.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.24 : 4,315.68 = 2,147.24 : x
  2. Step 2: Convert to fraction form
    2,876.24/4,315.68 = 2,147.24/x
  3. Step 3: Cross multiply
    2,876.24x = 4,315.68 × 2,147.24
  4. Step 4: Simplify right side
    2,876.24x = 9,266,811.51
  5. Step 5: Solve for x
    x = 9,266,811.51/2,876.24
  6. Step 6: Final answer
    x = 3,221.85

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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.