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Finding the Fourth Proportional to 2,763.32, 4,145.38 and 815.94

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Solution

The fourth proportional to 2,763.32, 4,145.38 and 815.94 is: 1,224.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.32 : 4,145.38 = 815.94 : x
  2. Step 2: Convert to fraction form
    2,763.32/4,145.38 = 815.94/x
  3. Step 3: Cross multiply
    2,763.32x = 4,145.38 × 815.94
  4. Step 4: Simplify right side
    2,763.32x = 3,382,379.32
  5. Step 5: Solve for x
    x = 3,382,379.32/2,763.32
  6. Step 6: Final answer
    x = 1,224.03

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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.