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Finding the Fourth Proportional to 2,466.94, 3,706.15 and 2,334.24

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Solution

The fourth proportional to 2,466.94, 3,706.15 and 2,334.24 is: 3,506.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.94 : 3,706.15 = 2,334.24 : x
  2. Step 2: Convert to fraction form
    2,466.94/3,706.15 = 2,334.24/x
  3. Step 3: Cross multiply
    2,466.94x = 3,706.15 × 2,334.24
  4. Step 4: Simplify right side
    2,466.94x = 8,651,025.05
  5. Step 5: Solve for x
    x = 8,651,025.05/2,466.94
  6. Step 6: Final answer
    x = 3,506.78

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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.