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Finding the Fourth Proportional to 1,626.92, 2,234.32 and 1,364.48

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Solution

The fourth proportional to 1,626.92, 2,234.32 and 1,364.48 is: 1,873.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.92 : 2,234.32 = 1,364.48 : x
  2. Step 2: Convert to fraction form
    1,626.92/2,234.32 = 1,364.48/x
  3. Step 3: Cross multiply
    1,626.92x = 2,234.32 × 1,364.48
  4. Step 4: Simplify right side
    1,626.92x = 3,048,684.95
  5. Step 5: Solve for x
    x = 3,048,684.95/1,626.92
  6. Step 6: Final answer
    x = 1,873.90

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.