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Finding the Fourth Proportional to 2,911.05, 4,365.92 and 831.02

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Solution

The fourth proportional to 2,911.05, 4,365.92 and 831.02 is: 1,246.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.05 : 4,365.92 = 831.02 : x
  2. Step 2: Convert to fraction form
    2,911.05/4,365.92 = 831.02/x
  3. Step 3: Cross multiply
    2,911.05x = 4,365.92 × 831.02
  4. Step 4: Simplify right side
    2,911.05x = 3,628,166.84
  5. Step 5: Solve for x
    x = 3,628,166.84/2,911.05
  6. Step 6: Final answer
    x = 1,246.34

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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.