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Finding the Fourth Proportional to 2,404.99, 3,602.21 and 1,169.78

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Solution

The fourth proportional to 2,404.99, 3,602.21 and 1,169.78 is: 1,752.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.99 : 3,602.21 = 1,169.78 : x
  2. Step 2: Convert to fraction form
    2,404.99/3,602.21 = 1,169.78/x
  3. Step 3: Cross multiply
    2,404.99x = 3,602.21 × 1,169.78
  4. Step 4: Simplify right side
    2,404.99x = 4,213,769.35
  5. Step 5: Solve for x
    x = 4,213,769.35/2,404.99
  6. Step 6: Final answer
    x = 1,752.09

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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.