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Finding the Fourth Proportional to 2,109.60, 3,164.28 and 648.75

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Solution

The fourth proportional to 2,109.60, 3,164.28 and 648.75 is: 973.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.60 : 3,164.28 = 648.75 : x
  2. Step 2: Convert to fraction form
    2,109.60/3,164.28 = 648.75/x
  3. Step 3: Cross multiply
    2,109.60x = 3,164.28 × 648.75
  4. Step 4: Simplify right side
    2,109.60x = 2,052,826.65
  5. Step 5: Solve for x
    x = 2,052,826.65/2,109.60
  6. Step 6: Final answer
    x = 973.09

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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.