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Finding the Fourth Proportional to 2,469.06, 3,703.53 and 1,008.23

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Solution

The fourth proportional to 2,469.06, 3,703.53 and 1,008.23 is: 1,512.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.06 : 3,703.53 = 1,008.23 : x
  2. Step 2: Convert to fraction form
    2,469.06/3,703.53 = 1,008.23/x
  3. Step 3: Cross multiply
    2,469.06x = 3,703.53 × 1,008.23
  4. Step 4: Simplify right side
    2,469.06x = 3,733,995.32
  5. Step 5: Solve for x
    x = 3,733,995.32/2,469.06
  6. Step 6: Final answer
    x = 1,512.31

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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.