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Finding the Fourth Proportional to 2,766.84, 4,153.10 and 2,157.21

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Solution

The fourth proportional to 2,766.84, 4,153.10 and 2,157.21 is: 3,238.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.84 : 4,153.10 = 2,157.21 : x
  2. Step 2: Convert to fraction form
    2,766.84/4,153.10 = 2,157.21/x
  3. Step 3: Cross multiply
    2,766.84x = 4,153.10 × 2,157.21
  4. Step 4: Simplify right side
    2,766.84x = 8,959,098.06
  5. Step 5: Solve for x
    x = 8,959,098.06/2,766.84
  6. Step 6: Final answer
    x = 3,238.03

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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.