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Finding the Fourth Proportional to 2,003.02, 2,764.08 and 1,163.74

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Solution

The fourth proportional to 2,003.02, 2,764.08 and 1,163.74 is: 1,605.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.02 : 2,764.08 = 1,163.74 : x
  2. Step 2: Convert to fraction form
    2,003.02/2,764.08 = 1,163.74/x
  3. Step 3: Cross multiply
    2,003.02x = 2,764.08 × 1,163.74
  4. Step 4: Simplify right side
    2,003.02x = 3,216,670.46
  5. Step 5: Solve for x
    x = 3,216,670.46/2,003.02
  6. Step 6: Final answer
    x = 1,605.91

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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.