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Finding the Fourth Proportional to 2,593.01, 3,578.28 and 1,474.00

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Solution

The fourth proportional to 2,593.01, 3,578.28 and 1,474.00 is: 2,034.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.01 : 3,578.28 = 1,474.00 : x
  2. Step 2: Convert to fraction form
    2,593.01/3,578.28 = 1,474.00/x
  3. Step 3: Cross multiply
    2,593.01x = 3,578.28 × 1,474.00
  4. Step 4: Simplify right side
    2,593.01x = 5,274,370.25
  5. Step 5: Solve for x
    x = 5,274,370.25/2,593.01
  6. Step 6: Final answer
    x = 2,034.07

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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.