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Finding the Fourth Proportional to 2,562.49, 3,844.82 and 1,330.21

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Solution

The fourth proportional to 2,562.49, 3,844.82 and 1,330.21 is: 1,995.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.49 : 3,844.82 = 1,330.21 : x
  2. Step 2: Convert to fraction form
    2,562.49/3,844.82 = 1,330.21/x
  3. Step 3: Cross multiply
    2,562.49x = 3,844.82 × 1,330.21
  4. Step 4: Simplify right side
    2,562.49x = 5,114,418.01
  5. Step 5: Solve for x
    x = 5,114,418.01/2,562.49
  6. Step 6: Final answer
    x = 1,995.88

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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.