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Finding the Fourth Proportional to 1,831.70, 2,747.67 and 736.06

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Solution

The fourth proportional to 1,831.70, 2,747.67 and 736.06 is: 1,104.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.70 : 2,747.67 = 736.06 : x
  2. Step 2: Convert to fraction form
    1,831.70/2,747.67 = 736.06/x
  3. Step 3: Cross multiply
    1,831.70x = 2,747.67 × 736.06
  4. Step 4: Simplify right side
    1,831.70x = 2,022,443.11
  5. Step 5: Solve for x
    x = 2,022,443.11/1,831.70
  6. Step 6: Final answer
    x = 1,104.14

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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.