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Finding the Fourth Proportional to 3,285, 4,534.07 and 2,166.14

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Solution

The fourth proportional to 3,285, 4,534.07 and 2,166.14 is: 2,989.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285 : 4,534.07 = 2,166.14 : x
  2. Step 2: Convert to fraction form
    3,285/4,534.07 = 2,166.14/x
  3. Step 3: Cross multiply
    3,285x = 4,534.07 × 2,166.14
  4. Step 4: Simplify right side
    3,285x = 9,821,430.39
  5. Step 5: Solve for x
    x = 9,821,430.39/3,285
  6. Step 6: Final answer
    x = 2,989.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.