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Finding the Fourth Proportional to 2,278.85, 3,418.47 and 635.42

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Solution

The fourth proportional to 2,278.85, 3,418.47 and 635.42 is: 953.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.85 : 3,418.47 = 635.42 : x
  2. Step 2: Convert to fraction form
    2,278.85/3,418.47 = 635.42/x
  3. Step 3: Cross multiply
    2,278.85x = 3,418.47 × 635.42
  4. Step 4: Simplify right side
    2,278.85x = 2,172,147.12
  5. Step 5: Solve for x
    x = 2,172,147.12/2,278.85
  6. Step 6: Final answer
    x = 953.18

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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.