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Finding the Fourth Proportional to 2,914.72, 4,372.12 and 1,624.39

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Solution

The fourth proportional to 2,914.72, 4,372.12 and 1,624.39 is: 2,436.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.72 : 4,372.12 = 1,624.39 : x
  2. Step 2: Convert to fraction form
    2,914.72/4,372.12 = 1,624.39/x
  3. Step 3: Cross multiply
    2,914.72x = 4,372.12 × 1,624.39
  4. Step 4: Simplify right side
    2,914.72x = 7,102,028.01
  5. Step 5: Solve for x
    x = 7,102,028.01/2,914.72
  6. Step 6: Final answer
    x = 2,436.61

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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.