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Finding the Fourth Proportional to 2,177.98, 3,266.95 and 879.43

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Solution

The fourth proportional to 2,177.98, 3,266.95 and 879.43 is: 1,319.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.98 : 3,266.95 = 879.43 : x
  2. Step 2: Convert to fraction form
    2,177.98/3,266.95 = 879.43/x
  3. Step 3: Cross multiply
    2,177.98x = 3,266.95 × 879.43
  4. Step 4: Simplify right side
    2,177.98x = 2,873,053.84
  5. Step 5: Solve for x
    x = 2,873,053.84/2,177.98
  6. Step 6: Final answer
    x = 1,319.14

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