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Finding the Fourth Proportional to 3,023.45, 4,534.67 and 831.68

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Solution

The fourth proportional to 3,023.45, 4,534.67 and 831.68 is: 1,247.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.45 : 4,534.67 = 831.68 : x
  2. Step 2: Convert to fraction form
    3,023.45/4,534.67 = 831.68/x
  3. Step 3: Cross multiply
    3,023.45x = 4,534.67 × 831.68
  4. Step 4: Simplify right side
    3,023.45x = 3,771,367.51
  5. Step 5: Solve for x
    x = 3,771,367.51/3,023.45
  6. Step 6: Final answer
    x = 1,247.37

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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.