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Finding the Fourth Proportional to 2,404.68, 3,608.62 and 943.96

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Solution

The fourth proportional to 2,404.68, 3,608.62 and 943.96 is: 1,416.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.68 : 3,608.62 = 943.96 : x
  2. Step 2: Convert to fraction form
    2,404.68/3,608.62 = 943.96/x
  3. Step 3: Cross multiply
    2,404.68x = 3,608.62 × 943.96
  4. Step 4: Simplify right side
    2,404.68x = 3,406,392.94
  5. Step 5: Solve for x
    x = 3,406,392.94/2,404.68
  6. Step 6: Final answer
    x = 1,416.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.