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Finding the Fourth Proportional to 1,947.33, 2,920.64 and 1,019.97

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Solution

The fourth proportional to 1,947.33, 2,920.64 and 1,019.97 is: 1,529.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.33 : 2,920.64 = 1,019.97 : x
  2. Step 2: Convert to fraction form
    1,947.33/2,920.64 = 1,019.97/x
  3. Step 3: Cross multiply
    1,947.33x = 2,920.64 × 1,019.97
  4. Step 4: Simplify right side
    1,947.33x = 2,978,960.08
  5. Step 5: Solve for x
    x = 2,978,960.08/1,947.33
  6. Step 6: Final answer
    x = 1,529.77

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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.