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Finding the Fourth Proportional to 2,058.09, 3,086.34 and 741.46

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Solution

The fourth proportional to 2,058.09, 3,086.34 and 741.46 is: 1,111.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.09 : 3,086.34 = 741.46 : x
  2. Step 2: Convert to fraction form
    2,058.09/3,086.34 = 741.46/x
  3. Step 3: Cross multiply
    2,058.09x = 3,086.34 × 741.46
  4. Step 4: Simplify right side
    2,058.09x = 2,288,397.66
  5. Step 5: Solve for x
    x = 2,288,397.66/2,058.09
  6. Step 6: Final answer
    x = 1,111.90

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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.