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Finding the Fourth Proportional to 2,709.90, 3,738.81 and 1,590.88

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Solution

The fourth proportional to 2,709.90, 3,738.81 and 1,590.88 is: 2,194.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.90 : 3,738.81 = 1,590.88 : x
  2. Step 2: Convert to fraction form
    2,709.90/3,738.81 = 1,590.88/x
  3. Step 3: Cross multiply
    2,709.90x = 3,738.81 × 1,590.88
  4. Step 4: Simplify right side
    2,709.90x = 5,947,998.05
  5. Step 5: Solve for x
    x = 5,947,998.05/2,709.90
  6. Step 6: Final answer
    x = 2,194.91

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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.