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Finding the Fourth Proportional to 2,205.97, 3,322.16 and 2,009.14

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Solution

The fourth proportional to 2,205.97, 3,322.16 and 2,009.14 is: 3,025.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.97 : 3,322.16 = 2,009.14 : x
  2. Step 2: Convert to fraction form
    2,205.97/3,322.16 = 2,009.14/x
  3. Step 3: Cross multiply
    2,205.97x = 3,322.16 × 2,009.14
  4. Step 4: Simplify right side
    2,205.97x = 6,674,657.89
  5. Step 5: Solve for x
    x = 6,674,657.89/2,205.97
  6. Step 6: Final answer
    x = 3,025.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.