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Finding the Fourth Proportional to 2,058.10, 3,086.46 and 723.58

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Solution

The fourth proportional to 2,058.10, 3,086.46 and 723.58 is: 1,085.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.10 : 3,086.46 = 723.58 : x
  2. Step 2: Convert to fraction form
    2,058.10/3,086.46 = 723.58/x
  3. Step 3: Cross multiply
    2,058.10x = 3,086.46 × 723.58
  4. Step 4: Simplify right side
    2,058.10x = 2,233,300.73
  5. Step 5: Solve for x
    x = 2,233,300.73/2,058.10
  6. Step 6: Final answer
    x = 1,085.13

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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.