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Finding the Fourth Proportional to 2,330.81, 3,216.41 and 1,282.85

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Solution

The fourth proportional to 2,330.81, 3,216.41 and 1,282.85 is: 1,770.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.81 : 3,216.41 = 1,282.85 : x
  2. Step 2: Convert to fraction form
    2,330.81/3,216.41 = 1,282.85/x
  3. Step 3: Cross multiply
    2,330.81x = 3,216.41 × 1,282.85
  4. Step 4: Simplify right side
    2,330.81x = 4,126,165.15
  5. Step 5: Solve for x
    x = 4,126,165.15/2,330.81
  6. Step 6: Final answer
    x = 1,770.27

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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.