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Finding the Fourth Proportional to 1,964.97, 2,947.33 and 578.39

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Solution

The fourth proportional to 1,964.97, 2,947.33 and 578.39 is: 867.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.97 : 2,947.33 = 578.39 : x
  2. Step 2: Convert to fraction form
    1,964.97/2,947.33 = 578.39/x
  3. Step 3: Cross multiply
    1,964.97x = 2,947.33 × 578.39
  4. Step 4: Simplify right side
    1,964.97x = 1,704,688.57
  5. Step 5: Solve for x
    x = 1,704,688.57/1,964.97
  6. Step 6: Final answer
    x = 867.54

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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.