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Finding the Fourth Proportional to 1,467.78, 2,023.26 and 994.74

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Solution

The fourth proportional to 1,467.78, 2,023.26 and 994.74 is: 1,371.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.78 : 2,023.26 = 994.74 : x
  2. Step 2: Convert to fraction form
    1,467.78/2,023.26 = 994.74/x
  3. Step 3: Cross multiply
    1,467.78x = 2,023.26 × 994.74
  4. Step 4: Simplify right side
    1,467.78x = 2,012,617.65
  5. Step 5: Solve for x
    x = 2,012,617.65/1,467.78
  6. Step 6: Final answer
    x = 1,371.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.