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Finding the Fourth Proportional to 2,338.78, 3,508.78 and 779.02

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Solution

The fourth proportional to 2,338.78, 3,508.78 and 779.02 is: 1,168.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.78 : 3,508.78 = 779.02 : x
  2. Step 2: Convert to fraction form
    2,338.78/3,508.78 = 779.02/x
  3. Step 3: Cross multiply
    2,338.78x = 3,508.78 × 779.02
  4. Step 4: Simplify right side
    2,338.78x = 2,733,409.80
  5. Step 5: Solve for x
    x = 2,733,409.80/2,338.78
  6. Step 6: Final answer
    x = 1,168.73

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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.