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Finding the Fourth Proportional to 3,061.86, 4,593.56 and 982.05

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Solution

The fourth proportional to 3,061.86, 4,593.56 and 982.05 is: 1,473.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.86 : 4,593.56 = 982.05 : x
  2. Step 2: Convert to fraction form
    3,061.86/4,593.56 = 982.05/x
  3. Step 3: Cross multiply
    3,061.86x = 4,593.56 × 982.05
  4. Step 4: Simplify right side
    3,061.86x = 4,511,100.69
  5. Step 5: Solve for x
    x = 4,511,100.69/3,061.86
  6. Step 6: Final answer
    x = 1,473.32

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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.