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Finding the Fourth Proportional to 2,593.57, 3,892.38 and 1,133.74

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Solution

The fourth proportional to 2,593.57, 3,892.38 and 1,133.74 is: 1,701.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.57 : 3,892.38 = 1,133.74 : x
  2. Step 2: Convert to fraction form
    2,593.57/3,892.38 = 1,133.74/x
  3. Step 3: Cross multiply
    2,593.57x = 3,892.38 × 1,133.74
  4. Step 4: Simplify right side
    2,593.57x = 4,412,946.90
  5. Step 5: Solve for x
    x = 4,412,946.90/2,593.57
  6. Step 6: Final answer
    x = 1,701.50

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Why These Related Problems?

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