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Finding the Fourth Proportional to 1,947.73, 2,689.65 and 1,419.66

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Solution

The fourth proportional to 1,947.73, 2,689.65 and 1,419.66 is: 1,960.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.73 : 2,689.65 = 1,419.66 : x
  2. Step 2: Convert to fraction form
    1,947.73/2,689.65 = 1,419.66/x
  3. Step 3: Cross multiply
    1,947.73x = 2,689.65 × 1,419.66
  4. Step 4: Simplify right side
    1,947.73x = 3,818,388.52
  5. Step 5: Solve for x
    x = 3,818,388.52/1,947.73
  6. Step 6: Final answer
    x = 1,960.43

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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.