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Finding the Fourth Proportional to 3,205.71, 4,426.65 and 2,466.99

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Solution

The fourth proportional to 3,205.71, 4,426.65 and 2,466.99 is: 3,406.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.71 : 4,426.65 = 2,466.99 : x
  2. Step 2: Convert to fraction form
    3,205.71/4,426.65 = 2,466.99/x
  3. Step 3: Cross multiply
    3,205.71x = 4,426.65 × 2,466.99
  4. Step 4: Simplify right side
    3,205.71x = 10,920,501.28
  5. Step 5: Solve for x
    x = 10,920,501.28/3,205.71
  6. Step 6: Final answer
    x = 3,406.58

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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.