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Finding the Fourth Proportional to 2,139.10, 3,206.44 and 822.54

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Solution

The fourth proportional to 2,139.10, 3,206.44 and 822.54 is: 1,232.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.10 : 3,206.44 = 822.54 : x
  2. Step 2: Convert to fraction form
    2,139.10/3,206.44 = 822.54/x
  3. Step 3: Cross multiply
    2,139.10x = 3,206.44 × 822.54
  4. Step 4: Simplify right side
    2,139.10x = 2,637,425.16
  5. Step 5: Solve for x
    x = 2,637,425.16/2,139.10
  6. Step 6: Final answer
    x = 1,232.96

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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.