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Finding the Fourth Proportional to 2,824.94, 3,899.14 and 1,882.31

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Solution

The fourth proportional to 2,824.94, 3,899.14 and 1,882.31 is: 2,598.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.94 : 3,899.14 = 1,882.31 : x
  2. Step 2: Convert to fraction form
    2,824.94/3,899.14 = 1,882.31/x
  3. Step 3: Cross multiply
    2,824.94x = 3,899.14 × 1,882.31
  4. Step 4: Simplify right side
    2,824.94x = 7,339,366.01
  5. Step 5: Solve for x
    x = 7,339,366.01/2,824.94
  6. Step 6: Final answer
    x = 2,598.06

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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.