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Finding the Fourth Proportional to 2,261.85, 3,392.51 and 618.41

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Solution

The fourth proportional to 2,261.85, 3,392.51 and 618.41 is: 927.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.85 : 3,392.51 = 618.41 : x
  2. Step 2: Convert to fraction form
    2,261.85/3,392.51 = 618.41/x
  3. Step 3: Cross multiply
    2,261.85x = 3,392.51 × 618.41
  4. Step 4: Simplify right side
    2,261.85x = 2,097,942.05
  5. Step 5: Solve for x
    x = 2,097,942.05/2,261.85
  6. Step 6: Final answer
    x = 927.53

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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.