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Finding the Fourth Proportional to 2,391.82, 3,589.39 and 930.98

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Solution

The fourth proportional to 2,391.82, 3,589.39 and 930.98 is: 1,397.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.82 : 3,589.39 = 930.98 : x
  2. Step 2: Convert to fraction form
    2,391.82/3,589.39 = 930.98/x
  3. Step 3: Cross multiply
    2,391.82x = 3,589.39 × 930.98
  4. Step 4: Simplify right side
    2,391.82x = 3,341,645.65
  5. Step 5: Solve for x
    x = 3,341,645.65/2,391.82
  6. Step 6: Final answer
    x = 1,397.11

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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.