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Finding the Fourth Proportional to 2,959.68, 4,437.12 and 2,228.16

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Solution

The fourth proportional to 2,959.68, 4,437.12 and 2,228.16 is: 3,340.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.68 : 4,437.12 = 2,228.16 : x
  2. Step 2: Convert to fraction form
    2,959.68/4,437.12 = 2,228.16/x
  3. Step 3: Cross multiply
    2,959.68x = 4,437.12 × 2,228.16
  4. Step 4: Simplify right side
    2,959.68x = 9,886,613.30
  5. Step 5: Solve for x
    x = 9,886,613.30/2,959.68
  6. Step 6: Final answer
    x = 3,340.43

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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.