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Finding the Fourth Proportional to 2,914.14, 4,027.24 and 2,590.14

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Solution

The fourth proportional to 2,914.14, 4,027.24 and 2,590.14 is: 3,579.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.14 : 4,027.24 = 2,590.14 : x
  2. Step 2: Convert to fraction form
    2,914.14/4,027.24 = 2,590.14/x
  3. Step 3: Cross multiply
    2,914.14x = 4,027.24 × 2,590.14
  4. Step 4: Simplify right side
    2,914.14x = 10,431,115.41
  5. Step 5: Solve for x
    x = 10,431,115.41/2,914.14
  6. Step 6: Final answer
    x = 3,579.48

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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.