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Finding the Fourth Proportional to 2,318.27, 3,477.40 and 563.27

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Solution

The fourth proportional to 2,318.27, 3,477.40 and 563.27 is: 844.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.27 : 3,477.40 = 563.27 : x
  2. Step 2: Convert to fraction form
    2,318.27/3,477.40 = 563.27/x
  3. Step 3: Cross multiply
    2,318.27x = 3,477.40 × 563.27
  4. Step 4: Simplify right side
    2,318.27x = 1,958,696.30
  5. Step 5: Solve for x
    x = 1,958,696.30/2,318.27
  6. Step 6: Final answer
    x = 844.90

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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.