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Finding the Fourth Proportional to 2,732.65, 4,092.90 and 2,246.65

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Solution

The fourth proportional to 2,732.65, 4,092.90 and 2,246.65 is: 3,364.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.65 : 4,092.90 = 2,246.65 : x
  2. Step 2: Convert to fraction form
    2,732.65/4,092.90 = 2,246.65/x
  3. Step 3: Cross multiply
    2,732.65x = 4,092.90 × 2,246.65
  4. Step 4: Simplify right side
    2,732.65x = 9,195,313.79
  5. Step 5: Solve for x
    x = 9,195,313.79/2,732.65
  6. Step 6: Final answer
    x = 3,364.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.