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Finding the Fourth Proportional to 3,087.59, 4,260.74 and 1,761.21

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Solution

The fourth proportional to 3,087.59, 4,260.74 and 1,761.21 is: 2,430.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,087.59 : 4,260.74 = 1,761.21 : x
  2. Step 2: Convert to fraction form
    3,087.59/4,260.74 = 1,761.21/x
  3. Step 3: Cross multiply
    3,087.59x = 4,260.74 × 1,761.21
  4. Step 4: Simplify right side
    3,087.59x = 7,504,049.09
  5. Step 5: Solve for x
    x = 7,504,049.09/3,087.59
  6. Step 6: Final answer
    x = 2,430.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.