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Finding the Fourth Proportional to 1,608.32, 2,220.19 and 945.21

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Solution

The fourth proportional to 1,608.32, 2,220.19 and 945.21 is: 1,304.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.32 : 2,220.19 = 945.21 : x
  2. Step 2: Convert to fraction form
    1,608.32/2,220.19 = 945.21/x
  3. Step 3: Cross multiply
    1,608.32x = 2,220.19 × 945.21
  4. Step 4: Simplify right side
    1,608.32x = 2,098,545.79
  5. Step 5: Solve for x
    x = 2,098,545.79/1,608.32
  6. Step 6: Final answer
    x = 1,304.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.