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Finding the Fourth Proportional to 1,674.22, 2,511.51 and 563.61

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Solution

The fourth proportional to 1,674.22, 2,511.51 and 563.61 is: 845.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.22 : 2,511.51 = 563.61 : x
  2. Step 2: Convert to fraction form
    1,674.22/2,511.51 = 563.61/x
  3. Step 3: Cross multiply
    1,674.22x = 2,511.51 × 563.61
  4. Step 4: Simplify right side
    1,674.22x = 1,415,505.33
  5. Step 5: Solve for x
    x = 1,415,505.33/1,674.22
  6. Step 6: Final answer
    x = 845.47

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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.