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Finding the Fourth Proportional to 2,778.98, 4,168.05 and 831.35

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Solution

The fourth proportional to 2,778.98, 4,168.05 and 831.35 is: 1,246.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.98 : 4,168.05 = 831.35 : x
  2. Step 2: Convert to fraction form
    2,778.98/4,168.05 = 831.35/x
  3. Step 3: Cross multiply
    2,778.98x = 4,168.05 × 831.35
  4. Step 4: Simplify right side
    2,778.98x = 3,465,108.37
  5. Step 5: Solve for x
    x = 3,465,108.37/2,778.98
  6. Step 6: Final answer
    x = 1,246.90

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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.