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Finding the Fourth Proportional to 2,822.56, 3,892.09 and 1,926.40

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Solution

The fourth proportional to 2,822.56, 3,892.09 and 1,926.40 is: 2,656.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.56 : 3,892.09 = 1,926.40 : x
  2. Step 2: Convert to fraction form
    2,822.56/3,892.09 = 1,926.40/x
  3. Step 3: Cross multiply
    2,822.56x = 3,892.09 × 1,926.40
  4. Step 4: Simplify right side
    2,822.56x = 7,497,722.18
  5. Step 5: Solve for x
    x = 7,497,722.18/2,822.56
  6. Step 6: Final answer
    x = 2,656.36

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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.