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Finding the Fourth Proportional to 2,471.39, 3,707.69 and 2,268.89

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Solution

The fourth proportional to 2,471.39, 3,707.69 and 2,268.89 is: 3,403.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.39 : 3,707.69 = 2,268.89 : x
  2. Step 2: Convert to fraction form
    2,471.39/3,707.69 = 2,268.89/x
  3. Step 3: Cross multiply
    2,471.39x = 3,707.69 × 2,268.89
  4. Step 4: Simplify right side
    2,471.39x = 8,412,340.76
  5. Step 5: Solve for x
    x = 8,412,340.76/2,471.39
  6. Step 6: Final answer
    x = 3,403.89

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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.