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Finding the Fourth Proportional to 2,261.39, 3,391.72 and 618.05

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Solution

The fourth proportional to 2,261.39, 3,391.72 and 618.05 is: 926.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.39 : 3,391.72 = 618.05 : x
  2. Step 2: Convert to fraction form
    2,261.39/3,391.72 = 618.05/x
  3. Step 3: Cross multiply
    2,261.39x = 3,391.72 × 618.05
  4. Step 4: Simplify right side
    2,261.39x = 2,096,259.48
  5. Step 5: Solve for x
    x = 2,096,259.48/2,261.39
  6. Step 6: Final answer
    x = 926.98

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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.