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Finding the Fourth Proportional to 2,188.67, 3,281.38 and 1,322.78

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Solution

The fourth proportional to 2,188.67, 3,281.38 and 1,322.78 is: 1,983.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.67 : 3,281.38 = 1,322.78 : x
  2. Step 2: Convert to fraction form
    2,188.67/3,281.38 = 1,322.78/x
  3. Step 3: Cross multiply
    2,188.67x = 3,281.38 × 1,322.78
  4. Step 4: Simplify right side
    2,188.67x = 4,340,543.84
  5. Step 5: Solve for x
    x = 4,340,543.84/2,188.67
  6. Step 6: Final answer
    x = 1,983.19

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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.