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Finding the Fourth Proportional to 2,003.84, 2,765.34 and 1,119.93

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Solution

The fourth proportional to 2,003.84, 2,765.34 and 1,119.93 is: 1,545.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.84 : 2,765.34 = 1,119.93 : x
  2. Step 2: Convert to fraction form
    2,003.84/2,765.34 = 1,119.93/x
  3. Step 3: Cross multiply
    2,003.84x = 2,765.34 × 1,119.93
  4. Step 4: Simplify right side
    2,003.84x = 3,096,976.86
  5. Step 5: Solve for x
    x = 3,096,976.86/2,003.84
  6. Step 6: Final answer
    x = 1,545.52

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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.