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Finding the Fourth Proportional to 2,109.96, 3,165.75 and 649.26

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Solution

The fourth proportional to 2,109.96, 3,165.75 and 649.26 is: 974.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.96 : 3,165.75 = 649.26 : x
  2. Step 2: Convert to fraction form
    2,109.96/3,165.75 = 649.26/x
  3. Step 3: Cross multiply
    2,109.96x = 3,165.75 × 649.26
  4. Step 4: Simplify right side
    2,109.96x = 2,055,394.85
  5. Step 5: Solve for x
    x = 2,055,394.85/2,109.96
  6. Step 6: Final answer
    x = 974.14

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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.