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Finding the Fourth Proportional to 2,330.68, 3,216.50 and 1,282.81

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Solution

The fourth proportional to 2,330.68, 3,216.50 and 1,282.81 is: 1,770.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.68 : 3,216.50 = 1,282.81 : x
  2. Step 2: Convert to fraction form
    2,330.68/3,216.50 = 1,282.81/x
  3. Step 3: Cross multiply
    2,330.68x = 3,216.50 × 1,282.81
  4. Step 4: Simplify right side
    2,330.68x = 4,126,151.95
  5. Step 5: Solve for x
    x = 4,126,151.95/2,330.68
  6. Step 6: Final answer
    x = 1,770.36

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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.