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Finding the Fourth Proportional to 2,109.12, 3,163.69 and 648.27

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Solution

The fourth proportional to 2,109.12, 3,163.69 and 648.27 is: 972.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.12 : 3,163.69 = 648.27 : x
  2. Step 2: Convert to fraction form
    2,109.12/3,163.69 = 648.27/x
  3. Step 3: Cross multiply
    2,109.12x = 3,163.69 × 648.27
  4. Step 4: Simplify right side
    2,109.12x = 2,050,914.26
  5. Step 5: Solve for x
    x = 2,050,914.26/2,109.12
  6. Step 6: Final answer
    x = 972.40

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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.