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Finding the Fourth Proportional to 1,965.12, 2,947.83 and 648.36

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Solution

The fourth proportional to 1,965.12, 2,947.83 and 648.36 is: 972.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.12 : 2,947.83 = 648.36 : x
  2. Step 2: Convert to fraction form
    1,965.12/2,947.83 = 648.36/x
  3. Step 3: Cross multiply
    1,965.12x = 2,947.83 × 648.36
  4. Step 4: Simplify right side
    1,965.12x = 1,911,255.06
  5. Step 5: Solve for x
    x = 1,911,255.06/1,965.12
  6. Step 6: Final answer
    x = 972.59

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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.