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Finding the Fourth Proportional to 2,766.92, 4,150.38 and 2,278.01

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Solution

The fourth proportional to 2,766.92, 4,150.38 and 2,278.01 is: 3,417.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.92 : 4,150.38 = 2,278.01 : x
  2. Step 2: Convert to fraction form
    2,766.92/4,150.38 = 2,278.01/x
  3. Step 3: Cross multiply
    2,766.92x = 4,150.38 × 2,278.01
  4. Step 4: Simplify right side
    2,766.92x = 9,454,607.14
  5. Step 5: Solve for x
    x = 9,454,607.14/2,766.92
  6. Step 6: Final answer
    x = 3,417.02

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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.