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Finding the Fourth Proportional to 2,756.80, 3,803.11 and 2,442.39

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Solution

The fourth proportional to 2,756.80, 3,803.11 and 2,442.39 is: 3,369.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.80 : 3,803.11 = 2,442.39 : x
  2. Step 2: Convert to fraction form
    2,756.80/3,803.11 = 2,442.39/x
  3. Step 3: Cross multiply
    2,756.80x = 3,803.11 × 2,442.39
  4. Step 4: Simplify right side
    2,756.80x = 9,288,677.83
  5. Step 5: Solve for x
    x = 9,288,677.83/2,756.80
  6. Step 6: Final answer
    x = 3,369.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.