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Finding the Fourth Proportional to 3,071.75, 4,608.03 and 991.05

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Solution

The fourth proportional to 3,071.75, 4,608.03 and 991.05 is: 1,486.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.75 : 4,608.03 = 991.05 : x
  2. Step 2: Convert to fraction form
    3,071.75/4,608.03 = 991.05/x
  3. Step 3: Cross multiply
    3,071.75x = 4,608.03 × 991.05
  4. Step 4: Simplify right side
    3,071.75x = 4,566,788.13
  5. Step 5: Solve for x
    x = 4,566,788.13/3,071.75
  6. Step 6: Final answer
    x = 1,486.71

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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.