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Finding the Fourth Proportional to 1,791.37, 2,686.98 and 817.46

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Solution

The fourth proportional to 1,791.37, 2,686.98 and 817.46 is: 1,226.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791.37 : 2,686.98 = 817.46 : x
  2. Step 2: Convert to fraction form
    1,791.37/2,686.98 = 817.46/x
  3. Step 3: Cross multiply
    1,791.37x = 2,686.98 × 817.46
  4. Step 4: Simplify right side
    1,791.37x = 2,196,498.38
  5. Step 5: Solve for x
    x = 2,196,498.38/1,791.37
  6. Step 6: Final answer
    x = 1,226.15

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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.