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Finding the Fourth Proportional to 2,278.14, 3,415.05 and 980.52

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Solution

The fourth proportional to 2,278.14, 3,415.05 and 980.52 is: 1,469.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.14 : 3,415.05 = 980.52 : x
  2. Step 2: Convert to fraction form
    2,278.14/3,415.05 = 980.52/x
  3. Step 3: Cross multiply
    2,278.14x = 3,415.05 × 980.52
  4. Step 4: Simplify right side
    2,278.14x = 3,348,524.83
  5. Step 5: Solve for x
    x = 3,348,524.83/2,278.14
  6. Step 6: Final answer
    x = 1,469.85

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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.