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Finding the Fourth Proportional to 2,284.82, 3,432.71 and 1,464.69

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Solution

The fourth proportional to 2,284.82, 3,432.71 and 1,464.69 is: 2,200.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.82 : 3,432.71 = 1,464.69 : x
  2. Step 2: Convert to fraction form
    2,284.82/3,432.71 = 1,464.69/x
  3. Step 3: Cross multiply
    2,284.82x = 3,432.71 × 1,464.69
  4. Step 4: Simplify right side
    2,284.82x = 5,027,856.01
  5. Step 5: Solve for x
    x = 5,027,856.01/2,284.82
  6. Step 6: Final answer
    x = 2,200.55

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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.