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Finding the Fourth Proportional to 2,251.10, 3,377.16 and 790.27

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Solution

The fourth proportional to 2,251.10, 3,377.16 and 790.27 is: 1,185.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.10 : 3,377.16 = 790.27 : x
  2. Step 2: Convert to fraction form
    2,251.10/3,377.16 = 790.27/x
  3. Step 3: Cross multiply
    2,251.10x = 3,377.16 × 790.27
  4. Step 4: Simplify right side
    2,251.10x = 2,668,859.79
  5. Step 5: Solve for x
    x = 2,668,859.79/2,251.10
  6. Step 6: Final answer
    x = 1,185.58

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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.