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Finding the Fourth Proportional to 2,416.31, 3,624.78 and 684.98

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Solution

The fourth proportional to 2,416.31, 3,624.78 and 684.98 is: 1,027.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.31 : 3,624.78 = 684.98 : x
  2. Step 2: Convert to fraction form
    2,416.31/3,624.78 = 684.98/x
  3. Step 3: Cross multiply
    2,416.31x = 3,624.78 × 684.98
  4. Step 4: Simplify right side
    2,416.31x = 2,482,901.80
  5. Step 5: Solve for x
    x = 2,482,901.80/2,416.31
  6. Step 6: Final answer
    x = 1,027.56

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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.