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Finding the Fourth Proportional to 2,321.16, 3,482.30 and 677.71

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Solution

The fourth proportional to 2,321.16, 3,482.30 and 677.71 is: 1,016.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.16 : 3,482.30 = 677.71 : x
  2. Step 2: Convert to fraction form
    2,321.16/3,482.30 = 677.71/x
  3. Step 3: Cross multiply
    2,321.16x = 3,482.30 × 677.71
  4. Step 4: Simplify right side
    2,321.16x = 2,359,989.53
  5. Step 5: Solve for x
    x = 2,359,989.53/2,321.16
  6. Step 6: Final answer
    x = 1,016.73

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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.