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Finding the Fourth Proportional to 2,058.10, 3,087.46 and 759.46

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Solution

The fourth proportional to 2,058.10, 3,087.46 and 759.46 is: 1,139.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.10 : 3,087.46 = 759.46 : x
  2. Step 2: Convert to fraction form
    2,058.10/3,087.46 = 759.46/x
  3. Step 3: Cross multiply
    2,058.10x = 3,087.46 × 759.46
  4. Step 4: Simplify right side
    2,058.10x = 2,344,802.37
  5. Step 5: Solve for x
    x = 2,344,802.37/2,058.10
  6. Step 6: Final answer
    x = 1,139.30

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