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Finding the Fourth Proportional to 2,416.26, 3,624.09 and 772.98

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Solution

The fourth proportional to 2,416.26, 3,624.09 and 772.98 is: 1,159.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.26 : 3,624.09 = 772.98 : x
  2. Step 2: Convert to fraction form
    2,416.26/3,624.09 = 772.98/x
  3. Step 3: Cross multiply
    2,416.26x = 3,624.09 × 772.98
  4. Step 4: Simplify right side
    2,416.26x = 2,801,349.09
  5. Step 5: Solve for x
    x = 2,801,349.09/2,416.26
  6. Step 6: Final answer
    x = 1,159.37

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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.