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Finding the Fourth Proportional to 1,644.42, 2,269.08 and 945.66

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Solution

The fourth proportional to 1,644.42, 2,269.08 and 945.66 is: 1,304.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.42 : 2,269.08 = 945.66 : x
  2. Step 2: Convert to fraction form
    1,644.42/2,269.08 = 945.66/x
  3. Step 3: Cross multiply
    1,644.42x = 2,269.08 × 945.66
  4. Step 4: Simplify right side
    1,644.42x = 2,145,778.19
  5. Step 5: Solve for x
    x = 2,145,778.19/1,644.42
  6. Step 6: Final answer
    x = 1,304.88

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