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Finding the Fourth Proportional to 2,058, 3,088.34 and 759.48

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Solution

The fourth proportional to 2,058, 3,088.34 and 759.48 is: 1,139.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058 : 3,088.34 = 759.48 : x
  2. Step 2: Convert to fraction form
    2,058/3,088.34 = 759.48/x
  3. Step 3: Cross multiply
    2,058x = 3,088.34 × 759.48
  4. Step 4: Simplify right side
    2,058x = 2,345,532.46
  5. Step 5: Solve for x
    x = 2,345,532.46/2,058
  6. Step 6: Final answer
    x = 1,139.71

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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.