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Finding the Fourth Proportional to 1,891.68, 2,609.52 and 1,425.12

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Solution

The fourth proportional to 1,891.68, 2,609.52 and 1,425.12 is: 1,965.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.68 : 2,609.52 = 1,425.12 : x
  2. Step 2: Convert to fraction form
    1,891.68/2,609.52 = 1,425.12/x
  3. Step 3: Cross multiply
    1,891.68x = 2,609.52 × 1,425.12
  4. Step 4: Simplify right side
    1,891.68x = 3,718,879.14
  5. Step 5: Solve for x
    x = 3,718,879.14/1,891.68
  6. Step 6: Final answer
    x = 1,965.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.