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Finding the Fourth Proportional to 1,831.66, 2,747.49 and 444.98

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Solution

The fourth proportional to 1,831.66, 2,747.49 and 444.98 is: 667.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.66 : 2,747.49 = 444.98 : x
  2. Step 2: Convert to fraction form
    1,831.66/2,747.49 = 444.98/x
  3. Step 3: Cross multiply
    1,831.66x = 2,747.49 × 444.98
  4. Step 4: Simplify right side
    1,831.66x = 1,222,583.30
  5. Step 5: Solve for x
    x = 1,222,583.30/1,831.66
  6. Step 6: Final answer
    x = 667.47

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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.