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Finding the Fourth Proportional to 1,772.72, 2,646.10 and 1,644.22

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Solution

The fourth proportional to 1,772.72, 2,646.10 and 1,644.22 is: 2,454.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.72 : 2,646.10 = 1,644.22 : x
  2. Step 2: Convert to fraction form
    1,772.72/2,646.10 = 1,644.22/x
  3. Step 3: Cross multiply
    1,772.72x = 2,646.10 × 1,644.22
  4. Step 4: Simplify right side
    1,772.72x = 4,350,770.54
  5. Step 5: Solve for x
    x = 4,350,770.54/1,772.72
  6. Step 6: Final answer
    x = 2,454.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.