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Finding the Fourth Proportional to 2,178.12, 3,265.97 and 716.88

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Solution

The fourth proportional to 2,178.12, 3,265.97 and 716.88 is: 1,074.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.12 : 3,265.97 = 716.88 : x
  2. Step 2: Convert to fraction form
    2,178.12/3,265.97 = 716.88/x
  3. Step 3: Cross multiply
    2,178.12x = 3,265.97 × 716.88
  4. Step 4: Simplify right side
    2,178.12x = 2,341,304.99
  5. Step 5: Solve for x
    x = 2,341,304.99/2,178.12
  6. Step 6: Final answer
    x = 1,074.92

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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.