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Finding the Fourth Proportional to 2,261.46, 3,391.83 and 618.14

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Solution

The fourth proportional to 2,261.46, 3,391.83 and 618.14 is: 927.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.46 : 3,391.83 = 618.14 : x
  2. Step 2: Convert to fraction form
    2,261.46/3,391.83 = 618.14/x
  3. Step 3: Cross multiply
    2,261.46x = 3,391.83 × 618.14
  4. Step 4: Simplify right side
    2,261.46x = 2,096,625.80
  5. Step 5: Solve for x
    x = 2,096,625.80/2,261.46
  6. Step 6: Final answer
    x = 927.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.