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Finding the Fourth Proportional to 1,499.29, 2,245.09 and 1,108.71

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Solution

The fourth proportional to 1,499.29, 2,245.09 and 1,108.71 is: 1,660.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.29 : 2,245.09 = 1,108.71 : x
  2. Step 2: Convert to fraction form
    1,499.29/2,245.09 = 1,108.71/x
  3. Step 3: Cross multiply
    1,499.29x = 2,245.09 × 1,108.71
  4. Step 4: Simplify right side
    1,499.29x = 2,489,148.27
  5. Step 5: Solve for x
    x = 2,489,148.27/1,499.29
  6. Step 6: Final answer
    x = 1,660.22

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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.