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Finding the Fourth Proportional to 2,812.49, 3,880.54 and 2,181.91

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Solution

The fourth proportional to 2,812.49, 3,880.54 and 2,181.91 is: 3,010.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.49 : 3,880.54 = 2,181.91 : x
  2. Step 2: Convert to fraction form
    2,812.49/3,880.54 = 2,181.91/x
  3. Step 3: Cross multiply
    2,812.49x = 3,880.54 × 2,181.91
  4. Step 4: Simplify right side
    2,812.49x = 8,466,989.03
  5. Step 5: Solve for x
    x = 8,466,989.03/2,812.49
  6. Step 6: Final answer
    x = 3,010.50

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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.