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Finding the Fourth Proportional to 2,262, 3,394.62 and 1,108.56

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Solution

The fourth proportional to 2,262, 3,394.62 and 1,108.56 is: 1,663.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262 : 3,394.62 = 1,108.56 : x
  2. Step 2: Convert to fraction form
    2,262/3,394.62 = 1,108.56/x
  3. Step 3: Cross multiply
    2,262x = 3,394.62 × 1,108.56
  4. Step 4: Simplify right side
    2,262x = 3,763,139.95
  5. Step 5: Solve for x
    x = 3,763,139.95/2,262
  6. Step 6: Final answer
    x = 1,663.63

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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.