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Finding the Fourth Proportional to 1,831.78, 2,747.32 and 599.23

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Solution

The fourth proportional to 1,831.78, 2,747.32 and 599.23 is: 898.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.78 : 2,747.32 = 599.23 : x
  2. Step 2: Convert to fraction form
    1,831.78/2,747.32 = 599.23/x
  3. Step 3: Cross multiply
    1,831.78x = 2,747.32 × 599.23
  4. Step 4: Simplify right side
    1,831.78x = 1,646,276.56
  5. Step 5: Solve for x
    x = 1,646,276.56/1,831.78
  6. Step 6: Final answer
    x = 898.73

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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.