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Finding the Fourth Proportional to 1,291.17, 1,936.80 and 829.20

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Solution

The fourth proportional to 1,291.17, 1,936.80 and 829.20 is: 1,243.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.17 : 1,936.80 = 829.20 : x
  2. Step 2: Convert to fraction form
    1,291.17/1,936.80 = 829.20/x
  3. Step 3: Cross multiply
    1,291.17x = 1,936.80 × 829.20
  4. Step 4: Simplify right side
    1,291.17x = 1,605,994.56
  5. Step 5: Solve for x
    x = 1,605,994.56/1,291.17
  6. Step 6: Final answer
    x = 1,243.83

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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.