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Finding the Fourth Proportional to 1,469.10, 2,205.21 and 885.54

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Solution

The fourth proportional to 1,469.10, 2,205.21 and 885.54 is: 1,329.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.10 : 2,205.21 = 885.54 : x
  2. Step 2: Convert to fraction form
    1,469.10/2,205.21 = 885.54/x
  3. Step 3: Cross multiply
    1,469.10x = 2,205.21 × 885.54
  4. Step 4: Simplify right side
    1,469.10x = 1,952,801.66
  5. Step 5: Solve for x
    x = 1,952,801.66/1,469.10
  6. Step 6: Final answer
    x = 1,329.25

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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.