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Finding the Fourth Proportional to 3,081.58, 4,623.42 and 1,693.15

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Solution

The fourth proportional to 3,081.58, 4,623.42 and 1,693.15 is: 2,540.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,081.58 : 4,623.42 = 1,693.15 : x
  2. Step 2: Convert to fraction form
    3,081.58/4,623.42 = 1,693.15/x
  3. Step 3: Cross multiply
    3,081.58x = 4,623.42 × 1,693.15
  4. Step 4: Simplify right side
    3,081.58x = 7,828,143.57
  5. Step 5: Solve for x
    x = 7,828,143.57/3,081.58
  6. Step 6: Final answer
    x = 2,540.30

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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.