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Finding the Fourth Proportional to 2,278.86, 3,418.26 and 635.40

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Solution

The fourth proportional to 2,278.86, 3,418.26 and 635.40 is: 953.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.86 : 3,418.26 = 635.40 : x
  2. Step 2: Convert to fraction form
    2,278.86/3,418.26 = 635.40/x
  3. Step 3: Cross multiply
    2,278.86x = 3,418.26 × 635.40
  4. Step 4: Simplify right side
    2,278.86x = 2,171,962.40
  5. Step 5: Solve for x
    x = 2,171,962.40/2,278.86
  6. Step 6: Final answer
    x = 953.09

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