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Finding the Fourth Proportional to 2,234.22, 3,352.88 and 918.07

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Solution

The fourth proportional to 2,234.22, 3,352.88 and 918.07 is: 1,377.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.22 : 3,352.88 = 918.07 : x
  2. Step 2: Convert to fraction form
    2,234.22/3,352.88 = 918.07/x
  3. Step 3: Cross multiply
    2,234.22x = 3,352.88 × 918.07
  4. Step 4: Simplify right side
    2,234.22x = 3,078,172.45
  5. Step 5: Solve for x
    x = 3,078,172.45/2,234.22
  6. Step 6: Final answer
    x = 1,377.74

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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.