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Finding the Fourth Proportional to 2,189.80, 2,910.13 and 2,189.80

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Solution

The fourth proportional to 2,189.80, 2,910.13 and 2,189.80 is: 2,910.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.80 : 2,910.13 = 2,189.80 : x
  2. Step 2: Convert to fraction form
    2,189.80/2,910.13 = 2,189.80/x
  3. Step 3: Cross multiply
    2,189.80x = 2,910.13 × 2,189.80
  4. Step 4: Simplify right side
    2,189.80x = 6,372,602.67
  5. Step 5: Solve for x
    x = 6,372,602.67/2,189.80
  6. Step 6: Final answer
    x = 2,910.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.