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Finding the Fourth Proportional to 2,003.69, 2,764.96 and 1,207.13

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Solution

The fourth proportional to 2,003.69, 2,764.96 and 1,207.13 is: 1,665.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.69 : 2,764.96 = 1,207.13 : x
  2. Step 2: Convert to fraction form
    2,003.69/2,764.96 = 1,207.13/x
  3. Step 3: Cross multiply
    2,003.69x = 2,764.96 × 1,207.13
  4. Step 4: Simplify right side
    2,003.69x = 3,337,649.32
  5. Step 5: Solve for x
    x = 3,337,649.32/2,003.69
  6. Step 6: Final answer
    x = 1,665.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.