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Finding the Fourth Proportional to 3,023.05, 4,534.03 and 831.30

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Solution

The fourth proportional to 3,023.05, 4,534.03 and 831.30 is: 1,246.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.05 : 4,534.03 = 831.30 : x
  2. Step 2: Convert to fraction form
    3,023.05/4,534.03 = 831.30/x
  3. Step 3: Cross multiply
    3,023.05x = 4,534.03 × 831.30
  4. Step 4: Simplify right side
    3,023.05x = 3,769,139.14
  5. Step 5: Solve for x
    x = 3,769,139.14/3,023.05
  6. Step 6: Final answer
    x = 1,246.80

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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.