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Finding the Fourth Proportional to 2,108.82, 2,909.91 and 1,177.26

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Solution

The fourth proportional to 2,108.82, 2,909.91 and 1,177.26 is: 1,624.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.82 : 2,909.91 = 1,177.26 : x
  2. Step 2: Convert to fraction form
    2,108.82/2,909.91 = 1,177.26/x
  3. Step 3: Cross multiply
    2,108.82x = 2,909.91 × 1,177.26
  4. Step 4: Simplify right side
    2,108.82x = 3,425,720.65
  5. Step 5: Solve for x
    x = 3,425,720.65/2,108.82
  6. Step 6: Final answer
    x = 1,624.47

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