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Finding the Fourth Proportional to 2,330.40, 3,215.84 and 1,282.44

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Solution

The fourth proportional to 2,330.40, 3,215.84 and 1,282.44 is: 1,769.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.40 : 3,215.84 = 1,282.44 : x
  2. Step 2: Convert to fraction form
    2,330.40/3,215.84 = 1,282.44/x
  3. Step 3: Cross multiply
    2,330.40x = 3,215.84 × 1,282.44
  4. Step 4: Simplify right side
    2,330.40x = 4,124,121.85
  5. Step 5: Solve for x
    x = 4,124,121.85/2,330.40
  6. Step 6: Final answer
    x = 1,769.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.