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Finding the Fourth Proportional to 2,416, 3,624.62 and 684.62

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Solution

The fourth proportional to 2,416, 3,624.62 and 684.62 is: 1,027.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416 : 3,624.62 = 684.62 : x
  2. Step 2: Convert to fraction form
    2,416/3,624.62 = 684.62/x
  3. Step 3: Cross multiply
    2,416x = 3,624.62 × 684.62
  4. Step 4: Simplify right side
    2,416x = 2,481,487.34
  5. Step 5: Solve for x
    x = 2,481,487.34/2,416
  6. Step 6: Final answer
    x = 1,027.11

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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.