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Finding the Fourth Proportional to 2,967.68, 4,451.51 and 2,787.25

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Solution

The fourth proportional to 2,967.68, 4,451.51 and 2,787.25 is: 4,180.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.68 : 4,451.51 = 2,787.25 : x
  2. Step 2: Convert to fraction form
    2,967.68/4,451.51 = 2,787.25/x
  3. Step 3: Cross multiply
    2,967.68x = 4,451.51 × 2,787.25
  4. Step 4: Simplify right side
    2,967.68x = 12,407,471.25
  5. Step 5: Solve for x
    x = 12,407,471.25/2,967.68
  6. Step 6: Final answer
    x = 4,180.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.