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Finding the Fourth Proportional to 2,753.49, 3,796.95 and 2,124.12

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Solution

The fourth proportional to 2,753.49, 3,796.95 and 2,124.12 is: 2,929.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.49 : 3,796.95 = 2,124.12 : x
  2. Step 2: Convert to fraction form
    2,753.49/3,796.95 = 2,124.12/x
  3. Step 3: Cross multiply
    2,753.49x = 3,796.95 × 2,124.12
  4. Step 4: Simplify right side
    2,753.49x = 8,065,177.43
  5. Step 5: Solve for x
    x = 8,065,177.43/2,753.49
  6. Step 6: Final answer
    x = 2,929.07

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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.