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Finding the Fourth Proportional to 2,911.10, 4,365.99 and 831.07

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Solution

The fourth proportional to 2,911.10, 4,365.99 and 831.07 is: 1,246.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.10 : 4,365.99 = 831.07 : x
  2. Step 2: Convert to fraction form
    2,911.10/4,365.99 = 831.07/x
  3. Step 3: Cross multiply
    2,911.10x = 4,365.99 × 831.07
  4. Step 4: Simplify right side
    2,911.10x = 3,628,443.31
  5. Step 5: Solve for x
    x = 3,628,443.31/2,911.10
  6. Step 6: Final answer
    x = 1,246.42

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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.