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Finding the Fourth Proportional to 1,469.85, 2,204.77 and 374.23

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Solution

The fourth proportional to 1,469.85, 2,204.77 and 374.23 is: 561.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.85 : 2,204.77 = 374.23 : x
  2. Step 2: Convert to fraction form
    1,469.85/2,204.77 = 374.23/x
  3. Step 3: Cross multiply
    1,469.85x = 2,204.77 × 374.23
  4. Step 4: Simplify right side
    1,469.85x = 825,091.08
  5. Step 5: Solve for x
    x = 825,091.08/1,469.85
  6. Step 6: Final answer
    x = 561.34

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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.