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Finding the Fourth Proportional to 2,003.68, 2,765.01 and 1,119.46

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Solution

The fourth proportional to 2,003.68, 2,765.01 and 1,119.46 is: 1,544.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.68 : 2,765.01 = 1,119.46 : x
  2. Step 2: Convert to fraction form
    2,003.68/2,765.01 = 1,119.46/x
  3. Step 3: Cross multiply
    2,003.68x = 2,765.01 × 1,119.46
  4. Step 4: Simplify right side
    2,003.68x = 3,095,318.09
  5. Step 5: Solve for x
    x = 3,095,318.09/2,003.68
  6. Step 6: Final answer
    x = 1,544.82

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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.