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Finding the Fourth Proportional to 1,651.39, 2,278.91 and 905.38

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Solution

The fourth proportional to 1,651.39, 2,278.91 and 905.38 is: 1,249.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.39 : 2,278.91 = 905.38 : x
  2. Step 2: Convert to fraction form
    1,651.39/2,278.91 = 905.38/x
  3. Step 3: Cross multiply
    1,651.39x = 2,278.91 × 905.38
  4. Step 4: Simplify right side
    1,651.39x = 2,063,276.10
  5. Step 5: Solve for x
    x = 2,063,276.10/1,651.39
  6. Step 6: Final answer
    x = 1,249.42

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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.