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Finding the Fourth Proportional to 2,662.14, 3,994.02 and 2,405.17

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Solution

The fourth proportional to 2,662.14, 3,994.02 and 2,405.17 is: 3,608.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.14 : 3,994.02 = 2,405.17 : x
  2. Step 2: Convert to fraction form
    2,662.14/3,994.02 = 2,405.17/x
  3. Step 3: Cross multiply
    2,662.14x = 3,994.02 × 2,405.17
  4. Step 4: Simplify right side
    2,662.14x = 9,606,297.08
  5. Step 5: Solve for x
    x = 9,606,297.08/2,662.14
  6. Step 6: Final answer
    x = 3,608.49

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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.