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Finding the Fourth Proportional to 2,003.84, 2,763.82 and 1,446.15

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Solution

The fourth proportional to 2,003.84, 2,763.82 and 1,446.15 is: 1,994.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.84 : 2,763.82 = 1,446.15 : x
  2. Step 2: Convert to fraction form
    2,003.84/2,763.82 = 1,446.15/x
  3. Step 3: Cross multiply
    2,003.84x = 2,763.82 × 1,446.15
  4. Step 4: Simplify right side
    2,003.84x = 3,996,910.47
  5. Step 5: Solve for x
    x = 3,996,910.47/2,003.84
  6. Step 6: Final answer
    x = 1,994.63

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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.