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Finding the Fourth Proportional to 1,996.50, 2,751.58 and 1,624.71

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Solution

The fourth proportional to 1,996.50, 2,751.58 and 1,624.71 is: 2,239.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.50 : 2,751.58 = 1,624.71 : x
  2. Step 2: Convert to fraction form
    1,996.50/2,751.58 = 1,624.71/x
  3. Step 3: Cross multiply
    1,996.50x = 2,751.58 × 1,624.71
  4. Step 4: Simplify right side
    1,996.50x = 4,470,497.66
  5. Step 5: Solve for x
    x = 4,470,497.66/1,996.50
  6. Step 6: Final answer
    x = 2,239.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.