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Finding the Fourth Proportional to 1,593.36, 2,198.61 and 930.78

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Solution

The fourth proportional to 1,593.36, 2,198.61 and 930.78 is: 1,284.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.36 : 2,198.61 = 930.78 : x
  2. Step 2: Convert to fraction form
    1,593.36/2,198.61 = 930.78/x
  3. Step 3: Cross multiply
    1,593.36x = 2,198.61 × 930.78
  4. Step 4: Simplify right side
    1,593.36x = 2,046,422.22
  5. Step 5: Solve for x
    x = 2,046,422.22/1,593.36
  6. Step 6: Final answer
    x = 1,284.34

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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.