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Finding the Fourth Proportional to 1,772.10, 2,654.55 and 820.91

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Solution

The fourth proportional to 1,772.10, 2,654.55 and 820.91 is: 1,229.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.10 : 2,654.55 = 820.91 : x
  2. Step 2: Convert to fraction form
    1,772.10/2,654.55 = 820.91/x
  3. Step 3: Cross multiply
    1,772.10x = 2,654.55 × 820.91
  4. Step 4: Simplify right side
    1,772.10x = 2,179,133.37
  5. Step 5: Solve for x
    x = 2,179,133.37/1,772.10
  6. Step 6: Final answer
    x = 1,229.69

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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.