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Finding the Fourth Proportional to 3,023.34, 4,534.17 and 831.54

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Solution

The fourth proportional to 3,023.34, 4,534.17 and 831.54 is: 1,247.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.34 : 4,534.17 = 831.54 : x
  2. Step 2: Convert to fraction form
    3,023.34/4,534.17 = 831.54/x
  3. Step 3: Cross multiply
    3,023.34x = 4,534.17 × 831.54
  4. Step 4: Simplify right side
    3,023.34x = 3,770,343.72
  5. Step 5: Solve for x
    x = 3,770,343.72/3,023.34
  6. Step 6: Final answer
    x = 1,247.08

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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.