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Finding the Fourth Proportional to 3,306.71, 4,563.29 and 1,814.66

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Solution

The fourth proportional to 3,306.71, 4,563.29 and 1,814.66 is: 2,504.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306.71 : 4,563.29 = 1,814.66 : x
  2. Step 2: Convert to fraction form
    3,306.71/4,563.29 = 1,814.66/x
  3. Step 3: Cross multiply
    3,306.71x = 4,563.29 × 1,814.66
  4. Step 4: Simplify right side
    3,306.71x = 8,280,787.94
  5. Step 5: Solve for x
    x = 8,280,787.94/3,306.71
  6. Step 6: Final answer
    x = 2,504.24

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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.