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Finding the Fourth Proportional to 2,651.43, 3,661.70 and 1,987.23

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Solution

The fourth proportional to 2,651.43, 3,661.70 and 1,987.23 is: 2,744.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.43 : 3,661.70 = 1,987.23 : x
  2. Step 2: Convert to fraction form
    2,651.43/3,661.70 = 1,987.23/x
  3. Step 3: Cross multiply
    2,651.43x = 3,661.70 × 1,987.23
  4. Step 4: Simplify right side
    2,651.43x = 7,276,630.15
  5. Step 5: Solve for x
    x = 7,276,630.15/2,651.43
  6. Step 6: Final answer
    x = 2,744.42

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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.