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Finding the Fourth Proportional to 2,219.68, 3,063.24 and 1,275.64

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Solution

The fourth proportional to 2,219.68, 3,063.24 and 1,275.64 is: 1,760.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.68 : 3,063.24 = 1,275.64 : x
  2. Step 2: Convert to fraction form
    2,219.68/3,063.24 = 1,275.64/x
  3. Step 3: Cross multiply
    2,219.68x = 3,063.24 × 1,275.64
  4. Step 4: Simplify right side
    2,219.68x = 3,907,591.47
  5. Step 5: Solve for x
    x = 3,907,591.47/2,219.68
  6. Step 6: Final answer
    x = 1,760.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.