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Finding the Fourth Proportional to 2,109.38, 2,910.14 and 1,322.06

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Solution

The fourth proportional to 2,109.38, 2,910.14 and 1,322.06 is: 1,823.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.38 : 2,910.14 = 1,322.06 : x
  2. Step 2: Convert to fraction form
    2,109.38/2,910.14 = 1,322.06/x
  3. Step 3: Cross multiply
    2,109.38x = 2,910.14 × 1,322.06
  4. Step 4: Simplify right side
    2,109.38x = 3,847,379.69
  5. Step 5: Solve for x
    x = 3,847,379.69/2,109.38
  6. Step 6: Final answer
    x = 1,823.94

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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.