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Finding the Fourth Proportional to 2,261.57, 3,392.55 and 618.12

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Solution

The fourth proportional to 2,261.57, 3,392.55 and 618.12 is: 927.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.57 : 3,392.55 = 618.12 : x
  2. Step 2: Convert to fraction form
    2,261.57/3,392.55 = 618.12/x
  3. Step 3: Cross multiply
    2,261.57x = 3,392.55 × 618.12
  4. Step 4: Simplify right side
    2,261.57x = 2,097,003.01
  5. Step 5: Solve for x
    x = 2,097,003.01/2,261.57
  6. Step 6: Final answer
    x = 927.24

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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.