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Finding the Fourth Proportional to 2,058.24, 3,087.28 and 759.12

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Solution

The fourth proportional to 2,058.24, 3,087.28 and 759.12 is: 1,138.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.24 : 3,087.28 = 759.12 : x
  2. Step 2: Convert to fraction form
    2,058.24/3,087.28 = 759.12/x
  3. Step 3: Cross multiply
    2,058.24x = 3,087.28 × 759.12
  4. Step 4: Simplify right side
    2,058.24x = 2,343,615.99
  5. Step 5: Solve for x
    x = 2,343,615.99/2,058.24
  6. Step 6: Final answer
    x = 1,138.65

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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.