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Finding the Fourth Proportional to 1,964.74, 2,947.15 and 1,572.92

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Solution

The fourth proportional to 1,964.74, 2,947.15 and 1,572.92 is: 2,359.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.74 : 2,947.15 = 1,572.92 : x
  2. Step 2: Convert to fraction form
    1,964.74/2,947.15 = 1,572.92/x
  3. Step 3: Cross multiply
    1,964.74x = 2,947.15 × 1,572.92
  4. Step 4: Simplify right side
    1,964.74x = 4,635,634.61
  5. Step 5: Solve for x
    x = 4,635,634.61/1,964.74
  6. Step 6: Final answer
    x = 2,359.42

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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.