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Finding the Fourth Proportional to 3,023.09, 4,533.81 and 831.31

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Solution

The fourth proportional to 3,023.09, 4,533.81 and 831.31 is: 1,246.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.09 : 4,533.81 = 831.31 : x
  2. Step 2: Convert to fraction form
    3,023.09/4,533.81 = 831.31/x
  3. Step 3: Cross multiply
    3,023.09x = 4,533.81 × 831.31
  4. Step 4: Simplify right side
    3,023.09x = 3,769,001.59
  5. Step 5: Solve for x
    x = 3,769,001.59/3,023.09
  6. Step 6: Final answer
    x = 1,246.74

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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.