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Finding the Fourth Proportional to 2,824.65, 3,900.42 and 1,987.25

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Solution

The fourth proportional to 2,824.65, 3,900.42 and 1,987.25 is: 2,744.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.65 : 3,900.42 = 1,987.25 : x
  2. Step 2: Convert to fraction form
    2,824.65/3,900.42 = 1,987.25/x
  3. Step 3: Cross multiply
    2,824.65x = 3,900.42 × 1,987.25
  4. Step 4: Simplify right side
    2,824.65x = 7,751,090.14
  5. Step 5: Solve for x
    x = 7,751,090.14/2,824.65
  6. Step 6: Final answer
    x = 2,744.09

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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.