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Finding the Fourth Proportional to 2,210, 3,049.80 and 1,278.56

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Solution

The fourth proportional to 2,210, 3,049.80 and 1,278.56 is: 1,764.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210 : 3,049.80 = 1,278.56 : x
  2. Step 2: Convert to fraction form
    2,210/3,049.80 = 1,278.56/x
  3. Step 3: Cross multiply
    2,210x = 3,049.80 × 1,278.56
  4. Step 4: Simplify right side
    2,210x = 3,899,352.29
  5. Step 5: Solve for x
    x = 3,899,352.29/2,210
  6. Step 6: Final answer
    x = 1,764.41

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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.