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Finding the Fourth Proportional to 2,787.75, 4,178.39 and 1,142.30

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Solution

The fourth proportional to 2,787.75, 4,178.39 and 1,142.30 is: 1,712.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.75 : 4,178.39 = 1,142.30 : x
  2. Step 2: Convert to fraction form
    2,787.75/4,178.39 = 1,142.30/x
  3. Step 3: Cross multiply
    2,787.75x = 4,178.39 × 1,142.30
  4. Step 4: Simplify right side
    2,787.75x = 4,772,979.63
  5. Step 5: Solve for x
    x = 4,772,979.63/2,787.75
  6. Step 6: Final answer
    x = 1,712.13

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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.