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Finding the Fourth Proportional to 4,463.74, 6,694.50 and 1,831.99

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Solution

The fourth proportional to 4,463.74, 6,694.50 and 1,831.99 is: 2,747.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,463.74 : 6,694.50 = 1,831.99 : x
  2. Step 2: Convert to fraction form
    4,463.74/6,694.50 = 1,831.99/x
  3. Step 3: Cross multiply
    4,463.74x = 6,694.50 × 1,831.99
  4. Step 4: Simplify right side
    4,463.74x = 12,264,261.63
  5. Step 5: Solve for x
    x = 12,264,261.63/4,463.74
  6. Step 6: Final answer
    x = 2,747.53

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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.