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Finding the Fourth Proportional to 3,061.82, 4,593.48 and 981.83

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Solution

The fourth proportional to 3,061.82, 4,593.48 and 981.83 is: 1,472.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.82 : 4,593.48 = 981.83 : x
  2. Step 2: Convert to fraction form
    3,061.82/4,593.48 = 981.83/x
  3. Step 3: Cross multiply
    3,061.82x = 4,593.48 × 981.83
  4. Step 4: Simplify right side
    3,061.82x = 4,510,016.47
  5. Step 5: Solve for x
    x = 4,510,016.47/3,061.82
  6. Step 6: Final answer
    x = 1,472.99

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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.