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Finding the Fourth Proportional to 3,299.27, 4,948.83 and 990.77

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Solution

The fourth proportional to 3,299.27, 4,948.83 and 990.77 is: 1,486.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.27 : 4,948.83 = 990.77 : x
  2. Step 2: Convert to fraction form
    3,299.27/4,948.83 = 990.77/x
  3. Step 3: Cross multiply
    3,299.27x = 4,948.83 × 990.77
  4. Step 4: Simplify right side
    3,299.27x = 4,903,127.55
  5. Step 5: Solve for x
    x = 4,903,127.55/3,299.27
  6. Step 6: Final answer
    x = 1,486.13

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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.