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Finding the Fourth Proportional to 2,867.28, 4,300.11 and 787.37

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Solution

The fourth proportional to 2,867.28, 4,300.11 and 787.37 is: 1,180.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.28 : 4,300.11 = 787.37 : x
  2. Step 2: Convert to fraction form
    2,867.28/4,300.11 = 787.37/x
  3. Step 3: Cross multiply
    2,867.28x = 4,300.11 × 787.37
  4. Step 4: Simplify right side
    2,867.28x = 3,385,756.11
  5. Step 5: Solve for x
    x = 3,385,756.11/2,867.28
  6. Step 6: Final answer
    x = 1,180.83

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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.