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Finding the Fourth Proportional to 2,309.79, 3,463.92 and 1,270.96

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Solution

The fourth proportional to 2,309.79, 3,463.92 and 1,270.96 is: 1,906.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.79 : 3,463.92 = 1,270.96 : x
  2. Step 2: Convert to fraction form
    2,309.79/3,463.92 = 1,270.96/x
  3. Step 3: Cross multiply
    2,309.79x = 3,463.92 × 1,270.96
  4. Step 4: Simplify right side
    2,309.79x = 4,402,503.76
  5. Step 5: Solve for x
    x = 4,402,503.76/2,309.79
  6. Step 6: Final answer
    x = 1,906.02

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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.