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Finding the Fourth Proportional to 2,318.69, 3,478.49 and 2,086.31

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Solution

The fourth proportional to 2,318.69, 3,478.49 and 2,086.31 is: 3,129.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.69 : 3,478.49 = 2,086.31 : x
  2. Step 2: Convert to fraction form
    2,318.69/3,478.49 = 2,086.31/x
  3. Step 3: Cross multiply
    2,318.69x = 3,478.49 × 2,086.31
  4. Step 4: Simplify right side
    2,318.69x = 7,257,222.38
  5. Step 5: Solve for x
    x = 7,257,222.38/2,318.69
  6. Step 6: Final answer
    x = 3,129.89

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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.