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Finding the Fourth Proportional to 3,281.92, 4,529.11 and 1,789.84

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Solution

The fourth proportional to 3,281.92, 4,529.11 and 1,789.84 is: 2,470.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.92 : 4,529.11 = 1,789.84 : x
  2. Step 2: Convert to fraction form
    3,281.92/4,529.11 = 1,789.84/x
  3. Step 3: Cross multiply
    3,281.92x = 4,529.11 × 1,789.84
  4. Step 4: Simplify right side
    3,281.92x = 8,106,382.24
  5. Step 5: Solve for x
    x = 8,106,382.24/3,281.92
  6. Step 6: Final answer
    x = 2,470.01

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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.