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Finding the Fourth Proportional to 2,332.44, 3,218.72 and 1,284.48

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Solution

The fourth proportional to 2,332.44, 3,218.72 and 1,284.48 is: 1,772.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.44 : 3,218.72 = 1,284.48 : x
  2. Step 2: Convert to fraction form
    2,332.44/3,218.72 = 1,284.48/x
  3. Step 3: Cross multiply
    2,332.44x = 3,218.72 × 1,284.48
  4. Step 4: Simplify right side
    2,332.44x = 4,134,375.04
  5. Step 5: Solve for x
    x = 4,134,375.04/2,332.44
  6. Step 6: Final answer
    x = 1,772.55

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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.