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Finding the Fourth Proportional to 2,040.57, 3,058.90 and 1,297.88

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Solution

The fourth proportional to 2,040.57, 3,058.90 and 1,297.88 is: 1,945.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.57 : 3,058.90 = 1,297.88 : x
  2. Step 2: Convert to fraction form
    2,040.57/3,058.90 = 1,297.88/x
  3. Step 3: Cross multiply
    2,040.57x = 3,058.90 × 1,297.88
  4. Step 4: Simplify right side
    2,040.57x = 3,970,092.14
  5. Step 5: Solve for x
    x = 3,970,092.14/2,040.57
  6. Step 6: Final answer
    x = 1,945.58

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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.