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Finding the Fourth Proportional to 2,261.72, 3,392.57 and 618.23

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Solution

The fourth proportional to 2,261.72, 3,392.57 and 618.23 is: 927.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.72 : 3,392.57 = 618.23 : x
  2. Step 2: Convert to fraction form
    2,261.72/3,392.57 = 618.23/x
  3. Step 3: Cross multiply
    2,261.72x = 3,392.57 × 618.23
  4. Step 4: Simplify right side
    2,261.72x = 2,097,373.13
  5. Step 5: Solve for x
    x = 2,097,373.13/2,261.72
  6. Step 6: Final answer
    x = 927.34

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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.