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Finding the Fourth Proportional to 2,828.39, 4,239.50 and 2,416.27

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Solution

The fourth proportional to 2,828.39, 4,239.50 and 2,416.27 is: 3,621.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.39 : 4,239.50 = 2,416.27 : x
  2. Step 2: Convert to fraction form
    2,828.39/4,239.50 = 2,416.27/x
  3. Step 3: Cross multiply
    2,828.39x = 4,239.50 × 2,416.27
  4. Step 4: Simplify right side
    2,828.39x = 10,243,780.65
  5. Step 5: Solve for x
    x = 10,243,780.65/2,828.39
  6. Step 6: Final answer
    x = 3,621.78

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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.