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Finding the Fourth Proportional to 1,644.18, 2,269.08 and 945.57

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Solution

The fourth proportional to 1,644.18, 2,269.08 and 945.57 is: 1,304.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.18 : 2,269.08 = 945.57 : x
  2. Step 2: Convert to fraction form
    1,644.18/2,269.08 = 945.57/x
  3. Step 3: Cross multiply
    1,644.18x = 2,269.08 × 945.57
  4. Step 4: Simplify right side
    1,644.18x = 2,145,573.98
  5. Step 5: Solve for x
    x = 2,145,573.98/1,644.18
  6. Step 6: Final answer
    x = 1,304.95

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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.