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Finding the Fourth Proportional to 2,255.92, 3,113.22 and 1,593.94

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Solution

The fourth proportional to 2,255.92, 3,113.22 and 1,593.94 is: 2,199.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.92 : 3,113.22 = 1,593.94 : x
  2. Step 2: Convert to fraction form
    2,255.92/3,113.22 = 1,593.94/x
  3. Step 3: Cross multiply
    2,255.92x = 3,113.22 × 1,593.94
  4. Step 4: Simplify right side
    2,255.92x = 4,962,285.89
  5. Step 5: Solve for x
    x = 4,962,285.89/2,255.92
  6. Step 6: Final answer
    x = 2,199.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.