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Finding the Fourth Proportional to 2,268.39, 3,402.86 and 807.69

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Solution

The fourth proportional to 2,268.39, 3,402.86 and 807.69 is: 1,211.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.39 : 3,402.86 = 807.69 : x
  2. Step 2: Convert to fraction form
    2,268.39/3,402.86 = 807.69/x
  3. Step 3: Cross multiply
    2,268.39x = 3,402.86 × 807.69
  4. Step 4: Simplify right side
    2,268.39x = 2,748,451.95
  5. Step 5: Solve for x
    x = 2,748,451.95/2,268.39
  6. Step 6: Final answer
    x = 1,211.63

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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.