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Finding the Fourth Proportional to 2,914.27, 4,027.40 and 2,590.27

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Solution

The fourth proportional to 2,914.27, 4,027.40 and 2,590.27 is: 3,579.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.27 : 4,027.40 = 2,590.27 : x
  2. Step 2: Convert to fraction form
    2,914.27/4,027.40 = 2,590.27/x
  3. Step 3: Cross multiply
    2,914.27x = 4,027.40 × 2,590.27
  4. Step 4: Simplify right side
    2,914.27x = 10,432,053.40
  5. Step 5: Solve for x
    x = 10,432,053.40/2,914.27
  6. Step 6: Final answer
    x = 3,579.65

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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.