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Finding the Fourth Proportional to 2,321.27, 3,482.19 and 860.43

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Solution

The fourth proportional to 2,321.27, 3,482.19 and 860.43 is: 1,290.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.27 : 3,482.19 = 860.43 : x
  2. Step 2: Convert to fraction form
    2,321.27/3,482.19 = 860.43/x
  3. Step 3: Cross multiply
    2,321.27x = 3,482.19 × 860.43
  4. Step 4: Simplify right side
    2,321.27x = 2,996,180.74
  5. Step 5: Solve for x
    x = 2,996,180.74/2,321.27
  6. Step 6: Final answer
    x = 1,290.75

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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.