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Finding the Fourth Proportional to 2,404.74, 3,606.49 and 943.91

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Solution

The fourth proportional to 2,404.74, 3,606.49 and 943.91 is: 1,415.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.74 : 3,606.49 = 943.91 : x
  2. Step 2: Convert to fraction form
    2,404.74/3,606.49 = 943.91/x
  3. Step 3: Cross multiply
    2,404.74x = 3,606.49 × 943.91
  4. Step 4: Simplify right side
    2,404.74x = 3,404,179.22
  5. Step 5: Solve for x
    x = 3,404,179.22/2,404.74
  6. Step 6: Final answer
    x = 1,415.61

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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.