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Finding the Fourth Proportional to 2,177.76, 3,266.58 and 879.18

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Solution

The fourth proportional to 2,177.76, 3,266.58 and 879.18 is: 1,318.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.76 : 3,266.58 = 879.18 : x
  2. Step 2: Convert to fraction form
    2,177.76/3,266.58 = 879.18/x
  3. Step 3: Cross multiply
    2,177.76x = 3,266.58 × 879.18
  4. Step 4: Simplify right side
    2,177.76x = 2,871,911.80
  5. Step 5: Solve for x
    x = 2,871,911.80/2,177.76
  6. Step 6: Final answer
    x = 1,318.75

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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.