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Finding the Fourth Proportional to 2,778.84, 4,168.22 and 831.06

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Solution

The fourth proportional to 2,778.84, 4,168.22 and 831.06 is: 1,246.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.84 : 4,168.22 = 831.06 : x
  2. Step 2: Convert to fraction form
    2,778.84/4,168.22 = 831.06/x
  3. Step 3: Cross multiply
    2,778.84x = 4,168.22 × 831.06
  4. Step 4: Simplify right side
    2,778.84x = 3,464,040.91
  5. Step 5: Solve for x
    x = 3,464,040.91/2,778.84
  6. Step 6: Final answer
    x = 1,246.58

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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.