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Finding the Fourth Proportional to 2,235.15, 3,352.23 and 918.57

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Solution

The fourth proportional to 2,235.15, 3,352.23 and 918.57 is: 1,377.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.15 : 3,352.23 = 918.57 : x
  2. Step 2: Convert to fraction form
    2,235.15/3,352.23 = 918.57/x
  3. Step 3: Cross multiply
    2,235.15x = 3,352.23 × 918.57
  4. Step 4: Simplify right side
    2,235.15x = 3,079,257.91
  5. Step 5: Solve for x
    x = 3,079,257.91/2,235.15
  6. Step 6: Final answer
    x = 1,377.65

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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.