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Finding the Fourth Proportional to 2,451.92, 3,382.32 and 1,787.84

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Solution

The fourth proportional to 2,451.92, 3,382.32 and 1,787.84 is: 2,466.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.92 : 3,382.32 = 1,787.84 : x
  2. Step 2: Convert to fraction form
    2,451.92/3,382.32 = 1,787.84/x
  3. Step 3: Cross multiply
    2,451.92x = 3,382.32 × 1,787.84
  4. Step 4: Simplify right side
    2,451.92x = 6,047,046.99
  5. Step 5: Solve for x
    x = 6,047,046.99/2,451.92
  6. Step 6: Final answer
    x = 2,466.25

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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.