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Finding the Fourth Proportional to 1,965.20, 2,947.14 and 794.90

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Solution

The fourth proportional to 1,965.20, 2,947.14 and 794.90 is: 1,192.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.20 : 2,947.14 = 794.90 : x
  2. Step 2: Convert to fraction form
    1,965.20/2,947.14 = 794.90/x
  3. Step 3: Cross multiply
    1,965.20x = 2,947.14 × 794.90
  4. Step 4: Simplify right side
    1,965.20x = 2,342,666.85
  5. Step 5: Solve for x
    x = 2,342,666.85/1,965.20
  6. Step 6: Final answer
    x = 1,192.08

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1.5x scale

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.