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Finding the Fourth Proportional to 2,176.55, 3,265.24 and 716.73

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Solution

The fourth proportional to 2,176.55, 3,265.24 and 716.73 is: 1,075.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.55 : 3,265.24 = 716.73 : x
  2. Step 2: Convert to fraction form
    2,176.55/3,265.24 = 716.73/x
  3. Step 3: Cross multiply
    2,176.55x = 3,265.24 × 716.73
  4. Step 4: Simplify right side
    2,176.55x = 2,340,293.67
  5. Step 5: Solve for x
    x = 2,340,293.67/2,176.55
  6. Step 6: Final answer
    x = 1,075.23

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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.