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Finding the Fourth Proportional to 3,404.14, 4,697.14 and 2,142.99

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Solution

The fourth proportional to 3,404.14, 4,697.14 and 2,142.99 is: 2,956.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.14 : 4,697.14 = 2,142.99 : x
  2. Step 2: Convert to fraction form
    3,404.14/4,697.14 = 2,142.99/x
  3. Step 3: Cross multiply
    3,404.14x = 4,697.14 × 2,142.99
  4. Step 4: Simplify right side
    3,404.14x = 10,065,924.05
  5. Step 5: Solve for x
    x = 10,065,924.05/3,404.14
  6. Step 6: Final answer
    x = 2,956.97

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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.