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Finding the Fourth Proportional to 2,320.24, 3,481.72 and 860.42

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Solution

The fourth proportional to 2,320.24, 3,481.72 and 860.42 is: 1,291.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.24 : 3,481.72 = 860.42 : x
  2. Step 2: Convert to fraction form
    2,320.24/3,481.72 = 860.42/x
  3. Step 3: Cross multiply
    2,320.24x = 3,481.72 × 860.42
  4. Step 4: Simplify right side
    2,320.24x = 2,995,741.52
  5. Step 5: Solve for x
    x = 2,995,741.52/2,320.24
  6. Step 6: Final answer
    x = 1,291.13

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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.