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Finding the Fourth Proportional to 1,593.89, 2,378.03 and 1,418.48

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Solution

The fourth proportional to 1,593.89, 2,378.03 and 1,418.48 is: 2,116.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.89 : 2,378.03 = 1,418.48 : x
  2. Step 2: Convert to fraction form
    1,593.89/2,378.03 = 1,418.48/x
  3. Step 3: Cross multiply
    1,593.89x = 2,378.03 × 1,418.48
  4. Step 4: Simplify right side
    1,593.89x = 3,373,169.01
  5. Step 5: Solve for x
    x = 3,373,169.01/1,593.89
  6. Step 6: Final answer
    x = 2,116.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.