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Finding the Fourth Proportional to 2,801.06, 4,200.61 and 826.16

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Solution

The fourth proportional to 2,801.06, 4,200.61 and 826.16 is: 1,238.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.06 : 4,200.61 = 826.16 : x
  2. Step 2: Convert to fraction form
    2,801.06/4,200.61 = 826.16/x
  3. Step 3: Cross multiply
    2,801.06x = 4,200.61 × 826.16
  4. Step 4: Simplify right side
    2,801.06x = 3,470,395.38
  5. Step 5: Solve for x
    x = 3,470,395.38/2,801.06
  6. Step 6: Final answer
    x = 1,238.96

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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.