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Finding the Fourth Proportional to 2,411.41, 3,609.24 and 1,299.25

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Solution

The fourth proportional to 2,411.41, 3,609.24 and 1,299.25 is: 1,944.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.41 : 3,609.24 = 1,299.25 : x
  2. Step 2: Convert to fraction form
    2,411.41/3,609.24 = 1,299.25/x
  3. Step 3: Cross multiply
    2,411.41x = 3,609.24 × 1,299.25
  4. Step 4: Simplify right side
    2,411.41x = 4,689,305.07
  5. Step 5: Solve for x
    x = 4,689,305.07/2,411.41
  6. Step 6: Final answer
    x = 1,944.63

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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.