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Finding the Fourth Proportional to 1,593.18, 2,394.09 and 944.10

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Solution

The fourth proportional to 1,593.18, 2,394.09 and 944.10 is: 1,418.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.18 : 2,394.09 = 944.10 : x
  2. Step 2: Convert to fraction form
    1,593.18/2,394.09 = 944.10/x
  3. Step 3: Cross multiply
    1,593.18x = 2,394.09 × 944.10
  4. Step 4: Simplify right side
    1,593.18x = 2,260,260.37
  5. Step 5: Solve for x
    x = 2,260,260.37/1,593.18
  6. Step 6: Final answer
    x = 1,418.71

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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.