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Finding the Fourth Proportional to 4,605.24, 6,906.65 and 1,831.80

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Solution

The fourth proportional to 4,605.24, 6,906.65 and 1,831.80 is: 2,747.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.24 : 6,906.65 = 1,831.80 : x
  2. Step 2: Convert to fraction form
    4,605.24/6,906.65 = 1,831.80/x
  3. Step 3: Cross multiply
    4,605.24x = 6,906.65 × 1,831.80
  4. Step 4: Simplify right side
    4,605.24x = 12,651,592.31
  5. Step 5: Solve for x
    x = 12,651,592.31/4,605.24
  6. Step 6: Final answer
    x = 2,747.22

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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.