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Finding the Fourth Proportional to 1,593.78, 2,389.86 and 1,074.57

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Solution

The fourth proportional to 1,593.78, 2,389.86 and 1,074.57 is: 1,611.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.78 : 2,389.86 = 1,074.57 : x
  2. Step 2: Convert to fraction form
    1,593.78/2,389.86 = 1,074.57/x
  3. Step 3: Cross multiply
    1,593.78x = 2,389.86 × 1,074.57
  4. Step 4: Simplify right side
    1,593.78x = 2,568,071.86
  5. Step 5: Solve for x
    x = 2,568,071.86/1,593.78
  6. Step 6: Final answer
    x = 1,611.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.