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Finding the Fourth Proportional to 2,787.58, 3,846.71 and 1,545.50

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Solution

The fourth proportional to 2,787.58, 3,846.71 and 1,545.50 is: 2,132.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.58 : 3,846.71 = 1,545.50 : x
  2. Step 2: Convert to fraction form
    2,787.58/3,846.71 = 1,545.50/x
  3. Step 3: Cross multiply
    2,787.58x = 3,846.71 × 1,545.50
  4. Step 4: Simplify right side
    2,787.58x = 5,945,090.31
  5. Step 5: Solve for x
    x = 5,945,090.31/2,787.58
  6. Step 6: Final answer
    x = 2,132.71

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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.