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Finding the Fourth Proportional to 2,040.24, 3,058.24 and 1,160.85

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Solution

The fourth proportional to 2,040.24, 3,058.24 and 1,160.85 is: 1,740.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.24 : 3,058.24 = 1,160.85 : x
  2. Step 2: Convert to fraction form
    2,040.24/3,058.24 = 1,160.85/x
  3. Step 3: Cross multiply
    2,040.24x = 3,058.24 × 1,160.85
  4. Step 4: Simplify right side
    2,040.24x = 3,550,157.90
  5. Step 5: Solve for x
    x = 3,550,157.90/2,040.24
  6. Step 6: Final answer
    x = 1,740.07

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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.