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Finding the Fourth Proportional to 2,691.23, 4,037.31 and 841.99

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Solution

The fourth proportional to 2,691.23, 4,037.31 and 841.99 is: 1,263.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.23 : 4,037.31 = 841.99 : x
  2. Step 2: Convert to fraction form
    2,691.23/4,037.31 = 841.99/x
  3. Step 3: Cross multiply
    2,691.23x = 4,037.31 × 841.99
  4. Step 4: Simplify right side
    2,691.23x = 3,399,350.25
  5. Step 5: Solve for x
    x = 3,399,350.25/2,691.23
  6. Step 6: Final answer
    x = 1,263.12

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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.