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Finding the Fourth Proportional to 2,318.22, 3,477.29 and 563.23

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Solution

The fourth proportional to 2,318.22, 3,477.29 and 563.23 is: 844.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.22 : 3,477.29 = 563.23 : x
  2. Step 2: Convert to fraction form
    2,318.22/3,477.29 = 563.23/x
  3. Step 3: Cross multiply
    2,318.22x = 3,477.29 × 563.23
  4. Step 4: Simplify right side
    2,318.22x = 1,958,521.33
  5. Step 5: Solve for x
    x = 1,958,521.33/2,318.22
  6. Step 6: Final answer
    x = 844.84

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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.