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Finding the Fourth Proportional to 1,499.06, 2,247.26 and 806.10

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Solution

The fourth proportional to 1,499.06, 2,247.26 and 806.10 is: 1,208.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.06 : 2,247.26 = 806.10 : x
  2. Step 2: Convert to fraction form
    1,499.06/2,247.26 = 806.10/x
  3. Step 3: Cross multiply
    1,499.06x = 2,247.26 × 806.10
  4. Step 4: Simplify right side
    1,499.06x = 1,811,516.29
  5. Step 5: Solve for x
    x = 1,811,516.29/1,499.06
  6. Step 6: Final answer
    x = 1,208.43

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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.