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Finding the Fourth Proportional to 2,003.62, 2,764.98 and 1,095.13

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Solution

The fourth proportional to 2,003.62, 2,764.98 and 1,095.13 is: 1,511.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.62 : 2,764.98 = 1,095.13 : x
  2. Step 2: Convert to fraction form
    2,003.62/2,764.98 = 1,095.13/x
  3. Step 3: Cross multiply
    2,003.62x = 2,764.98 × 1,095.13
  4. Step 4: Simplify right side
    2,003.62x = 3,028,012.55
  5. Step 5: Solve for x
    x = 3,028,012.55/2,003.62
  6. Step 6: Final answer
    x = 1,511.27

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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.