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Finding the Fourth Proportional to 2,109.82, 3,164.73 and 648.99

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Solution

The fourth proportional to 2,109.82, 3,164.73 and 648.99 is: 973.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.82 : 3,164.73 = 648.99 : x
  2. Step 2: Convert to fraction form
    2,109.82/3,164.73 = 648.99/x
  3. Step 3: Cross multiply
    2,109.82x = 3,164.73 × 648.99
  4. Step 4: Simplify right side
    2,109.82x = 2,053,878.12
  5. Step 5: Solve for x
    x = 2,053,878.12/2,109.82
  6. Step 6: Final answer
    x = 973.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.