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Finding the Fourth Proportional to 2,311.74, 3,467.48 and 1,013.22

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Solution

The fourth proportional to 2,311.74, 3,467.48 and 1,013.22 is: 1,519.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.74 : 3,467.48 = 1,013.22 : x
  2. Step 2: Convert to fraction form
    2,311.74/3,467.48 = 1,013.22/x
  3. Step 3: Cross multiply
    2,311.74x = 3,467.48 × 1,013.22
  4. Step 4: Simplify right side
    2,311.74x = 3,513,320.09
  5. Step 5: Solve for x
    x = 3,513,320.09/2,311.74
  6. Step 6: Final answer
    x = 1,519.77

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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.