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Finding the Fourth Proportional to 3,305.85, 4,562.29 and 2,184.82

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Solution

The fourth proportional to 3,305.85, 4,562.29 and 2,184.82 is: 3,015.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.85 : 4,562.29 = 2,184.82 : x
  2. Step 2: Convert to fraction form
    3,305.85/4,562.29 = 2,184.82/x
  3. Step 3: Cross multiply
    3,305.85x = 4,562.29 × 2,184.82
  4. Step 4: Simplify right side
    3,305.85x = 9,967,787.14
  5. Step 5: Solve for x
    x = 9,967,787.14/3,305.85
  6. Step 6: Final answer
    x = 3,015.19

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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.