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Finding the Fourth Proportional to 2,318.83, 3,478.23 and 563.82

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Solution

The fourth proportional to 2,318.83, 3,478.23 and 563.82 is: 845.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.83 : 3,478.23 = 563.82 : x
  2. Step 2: Convert to fraction form
    2,318.83/3,478.23 = 563.82/x
  3. Step 3: Cross multiply
    2,318.83x = 3,478.23 × 563.82
  4. Step 4: Simplify right side
    2,318.83x = 1,961,087.82
  5. Step 5: Solve for x
    x = 1,961,087.82/2,318.83
  6. Step 6: Final answer
    x = 845.72

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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.