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Finding the Fourth Proportional to 1,593.78, 2,401.44 and 1,325.88

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Solution

The fourth proportional to 1,593.78, 2,401.44 and 1,325.88 is: 1,997.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.78 : 2,401.44 = 1,325.88 : x
  2. Step 2: Convert to fraction form
    1,593.78/2,401.44 = 1,325.88/x
  3. Step 3: Cross multiply
    1,593.78x = 2,401.44 × 1,325.88
  4. Step 4: Simplify right side
    1,593.78x = 3,184,021.27
  5. Step 5: Solve for x
    x = 3,184,021.27/1,593.78
  6. Step 6: Final answer
    x = 1,997.78

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