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Finding the Fourth Proportional to 2,109.70, 3,164.55 and 648.85

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Solution

The fourth proportional to 2,109.70, 3,164.55 and 648.85 is: 973.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.70 : 3,164.55 = 648.85 : x
  2. Step 2: Convert to fraction form
    2,109.70/3,164.55 = 648.85/x
  3. Step 3: Cross multiply
    2,109.70x = 3,164.55 × 648.85
  4. Step 4: Simplify right side
    2,109.70x = 2,053,318.27
  5. Step 5: Solve for x
    x = 2,053,318.27/2,109.70
  6. Step 6: Final answer
    x = 973.28

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1.5x scale

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.