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Finding the Fourth Proportional to 2,226.90, 3,073.10 and 1,232.18

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Solution

The fourth proportional to 2,226.90, 3,073.10 and 1,232.18 is: 1,700.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.90 : 3,073.10 = 1,232.18 : x
  2. Step 2: Convert to fraction form
    2,226.90/3,073.10 = 1,232.18/x
  3. Step 3: Cross multiply
    2,226.90x = 3,073.10 × 1,232.18
  4. Step 4: Simplify right side
    2,226.90x = 3,786,590.83
  5. Step 5: Solve for x
    x = 3,786,590.83/2,226.90
  6. Step 6: Final answer
    x = 1,700.39

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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.