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Finding the Fourth Proportional to 2,058.44, 3,087.95 and 759.83

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Solution

The fourth proportional to 2,058.44, 3,087.95 and 759.83 is: 1,139.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.44 : 3,087.95 = 759.83 : x
  2. Step 2: Convert to fraction form
    2,058.44/3,087.95 = 759.83/x
  3. Step 3: Cross multiply
    2,058.44x = 3,087.95 × 759.83
  4. Step 4: Simplify right side
    2,058.44x = 2,346,297.81
  5. Step 5: Solve for x
    x = 2,346,297.81/2,058.44
  6. Step 6: Final answer
    x = 1,139.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.