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Finding the Fourth Proportional to 2,744.34, 4,117.11 and 1,282.68

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Solution

The fourth proportional to 2,744.34, 4,117.11 and 1,282.68 is: 1,924.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.34 : 4,117.11 = 1,282.68 : x
  2. Step 2: Convert to fraction form
    2,744.34/4,117.11 = 1,282.68/x
  3. Step 3: Cross multiply
    2,744.34x = 4,117.11 × 1,282.68
  4. Step 4: Simplify right side
    2,744.34x = 5,280,934.65
  5. Step 5: Solve for x
    x = 5,280,934.65/2,744.34
  6. Step 6: Final answer
    x = 1,924.30

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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.