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Finding the Fourth Proportional to 1,831.56, 2,747.35 and 444.89

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Solution

The fourth proportional to 1,831.56, 2,747.35 and 444.89 is: 667.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.56 : 2,747.35 = 444.89 : x
  2. Step 2: Convert to fraction form
    1,831.56/2,747.35 = 444.89/x
  3. Step 3: Cross multiply
    1,831.56x = 2,747.35 × 444.89
  4. Step 4: Simplify right side
    1,831.56x = 1,222,274.30
  5. Step 5: Solve for x
    x = 1,222,274.30/1,831.56
  6. Step 6: Final answer
    x = 667.34

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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.