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Finding the Fourth Proportional to 2,787.84, 3,845.21 and 2,367.53

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Solution

The fourth proportional to 2,787.84, 3,845.21 and 2,367.53 is: 3,265.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.84 : 3,845.21 = 2,367.53 : x
  2. Step 2: Convert to fraction form
    2,787.84/3,845.21 = 2,367.53/x
  3. Step 3: Cross multiply
    2,787.84x = 3,845.21 × 2,367.53
  4. Step 4: Simplify right side
    2,787.84x = 9,103,633.39
  5. Step 5: Solve for x
    x = 9,103,633.39/2,787.84
  6. Step 6: Final answer
    x = 3,265.48

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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.