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Finding the Fourth Proportional to 3,176.30, 4,763.87 and 867.78

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Solution

The fourth proportional to 3,176.30, 4,763.87 and 867.78 is: 1,301.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.30 : 4,763.87 = 867.78 : x
  2. Step 2: Convert to fraction form
    3,176.30/4,763.87 = 867.78/x
  3. Step 3: Cross multiply
    3,176.30x = 4,763.87 × 867.78
  4. Step 4: Simplify right side
    3,176.30x = 4,133,991.11
  5. Step 5: Solve for x
    x = 4,133,991.11/3,176.30
  6. Step 6: Final answer
    x = 1,301.51

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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.