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Finding the Fourth Proportional to 1,891.47, 2,836.73 and 966.51

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Solution

The fourth proportional to 1,891.47, 2,836.73 and 966.51 is: 1,449.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.47 : 2,836.73 = 966.51 : x
  2. Step 2: Convert to fraction form
    1,891.47/2,836.73 = 966.51/x
  3. Step 3: Cross multiply
    1,891.47x = 2,836.73 × 966.51
  4. Step 4: Simplify right side
    1,891.47x = 2,741,723.08
  5. Step 5: Solve for x
    x = 2,741,723.08/1,891.47
  6. Step 6: Final answer
    x = 1,449.52

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Double scale
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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.