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Finding the Fourth Proportional to 2,261.41, 3,391.75 and 618.07

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Solution

The fourth proportional to 2,261.41, 3,391.75 and 618.07 is: 927.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.41 : 3,391.75 = 618.07 : x
  2. Step 2: Convert to fraction form
    2,261.41/3,391.75 = 618.07/x
  3. Step 3: Cross multiply
    2,261.41x = 3,391.75 × 618.07
  4. Step 4: Simplify right side
    2,261.41x = 2,096,338.92
  5. Step 5: Solve for x
    x = 2,096,338.92/2,261.41
  6. Step 6: Final answer
    x = 927.01

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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.