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Finding the Fourth Proportional to 2,016.41, 3,024.84 and 1,809.71

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Solution

The fourth proportional to 2,016.41, 3,024.84 and 1,809.71 is: 2,714.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.41 : 3,024.84 = 1,809.71 : x
  2. Step 2: Convert to fraction form
    2,016.41/3,024.84 = 1,809.71/x
  3. Step 3: Cross multiply
    2,016.41x = 3,024.84 × 1,809.71
  4. Step 4: Simplify right side
    2,016.41x = 5,474,083.20
  5. Step 5: Solve for x
    x = 5,474,083.20/2,016.41
  6. Step 6: Final answer
    x = 2,714.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.