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Finding the Fourth Proportional to 2,381.02, 3,593.78 and 2,381.02

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Solution

The fourth proportional to 2,381.02, 3,593.78 and 2,381.02 is: 3,593.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.02 : 3,593.78 = 2,381.02 : x
  2. Step 2: Convert to fraction form
    2,381.02/3,593.78 = 2,381.02/x
  3. Step 3: Cross multiply
    2,381.02x = 3,593.78 × 2,381.02
  4. Step 4: Simplify right side
    2,381.02x = 8,556,862.06
  5. Step 5: Solve for x
    x = 8,556,862.06/2,381.02
  6. Step 6: Final answer
    x = 3,593.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.