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Finding the Fourth Proportional to 2,373.82, 3,560.73 and 618.82

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Solution

The fourth proportional to 2,373.82, 3,560.73 and 618.82 is: 928.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.82 : 3,560.73 = 618.82 : x
  2. Step 2: Convert to fraction form
    2,373.82/3,560.73 = 618.82/x
  3. Step 3: Cross multiply
    2,373.82x = 3,560.73 × 618.82
  4. Step 4: Simplify right side
    2,373.82x = 2,203,450.94
  5. Step 5: Solve for x
    x = 2,203,450.94/2,373.82
  6. Step 6: Final answer
    x = 928.23

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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.