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Finding the Fourth Proportional to 2,171.84, 2,997.09 and 1,177.10

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Solution

The fourth proportional to 2,171.84, 2,997.09 and 1,177.10 is: 1,624.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.84 : 2,997.09 = 1,177.10 : x
  2. Step 2: Convert to fraction form
    2,171.84/2,997.09 = 1,177.10/x
  3. Step 3: Cross multiply
    2,171.84x = 2,997.09 × 1,177.10
  4. Step 4: Simplify right side
    2,171.84x = 3,527,859.65
  5. Step 5: Solve for x
    x = 3,527,859.65/2,171.84
  6. Step 6: Final answer
    x = 1,624.37

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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.