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Finding the Fourth Proportional to 1,593.87, 2,198.86 and 930.48

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Solution

The fourth proportional to 1,593.87, 2,198.86 and 930.48 is: 1,283.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.87 : 2,198.86 = 930.48 : x
  2. Step 2: Convert to fraction form
    1,593.87/2,198.86 = 930.48/x
  3. Step 3: Cross multiply
    1,593.87x = 2,198.86 × 930.48
  4. Step 4: Simplify right side
    1,593.87x = 2,045,995.25
  5. Step 5: Solve for x
    x = 2,045,995.25/1,593.87
  6. Step 6: Final answer
    x = 1,283.67

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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.