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Finding the Fourth Proportional to 2,416.68, 3,624.97 and 773.23

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Solution

The fourth proportional to 2,416.68, 3,624.97 and 773.23 is: 1,159.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.68 : 3,624.97 = 773.23 : x
  2. Step 2: Convert to fraction form
    2,416.68/3,624.97 = 773.23/x
  3. Step 3: Cross multiply
    2,416.68x = 3,624.97 × 773.23
  4. Step 4: Simplify right side
    2,416.68x = 2,802,935.55
  5. Step 5: Solve for x
    x = 2,802,935.55/2,416.68
  6. Step 6: Final answer
    x = 1,159.83

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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.