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Finding the Fourth Proportional to 2,177.91, 3,267.18 and 716.92

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Solution

The fourth proportional to 2,177.91, 3,267.18 and 716.92 is: 1,075.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.91 : 3,267.18 = 716.92 : x
  2. Step 2: Convert to fraction form
    2,177.91/3,267.18 = 716.92/x
  3. Step 3: Cross multiply
    2,177.91x = 3,267.18 × 716.92
  4. Step 4: Simplify right side
    2,177.91x = 2,342,298.52
  5. Step 5: Solve for x
    x = 2,342,298.52/2,177.91
  6. Step 6: Final answer
    x = 1,075.48

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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.