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Finding the Fourth Proportional to 2,787.60, 4,179.76 and 1,055.82

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Solution

The fourth proportional to 2,787.60, 4,179.76 and 1,055.82 is: 1,583.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.60 : 4,179.76 = 1,055.82 : x
  2. Step 2: Convert to fraction form
    2,787.60/4,179.76 = 1,055.82/x
  3. Step 3: Cross multiply
    2,787.60x = 4,179.76 × 1,055.82
  4. Step 4: Simplify right side
    2,787.60x = 4,413,074.20
  5. Step 5: Solve for x
    x = 4,413,074.20/2,787.60
  6. Step 6: Final answer
    x = 1,583.11

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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.