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Finding the Fourth Proportional to 1,486.62, 2,226.42 and 1,442.88

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Solution

The fourth proportional to 1,486.62, 2,226.42 and 1,442.88 is: 2,160.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.62 : 2,226.42 = 1,442.88 : x
  2. Step 2: Convert to fraction form
    1,486.62/2,226.42 = 1,442.88/x
  3. Step 3: Cross multiply
    1,486.62x = 2,226.42 × 1,442.88
  4. Step 4: Simplify right side
    1,486.62x = 3,212,456.89
  5. Step 5: Solve for x
    x = 3,212,456.89/1,486.62
  6. Step 6: Final answer
    x = 2,160.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.