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Finding the Fourth Proportional to 2,003.94, 2,764.66 and 1,164.50

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Solution

The fourth proportional to 2,003.94, 2,764.66 and 1,164.50 is: 1,606.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.94 : 2,764.66 = 1,164.50 : x
  2. Step 2: Convert to fraction form
    2,003.94/2,764.66 = 1,164.50/x
  3. Step 3: Cross multiply
    2,003.94x = 2,764.66 × 1,164.50
  4. Step 4: Simplify right side
    2,003.94x = 3,219,446.57
  5. Step 5: Solve for x
    x = 3,219,446.57/2,003.94
  6. Step 6: Final answer
    x = 1,606.56

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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.