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Finding the Fourth Proportional to 2,695.92, 3,722.46 and 2,105.44

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Solution

The fourth proportional to 2,695.92, 3,722.46 and 2,105.44 is: 2,907.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.92 : 3,722.46 = 2,105.44 : x
  2. Step 2: Convert to fraction form
    2,695.92/3,722.46 = 2,105.44/x
  3. Step 3: Cross multiply
    2,695.92x = 3,722.46 × 2,105.44
  4. Step 4: Simplify right side
    2,695.92x = 7,837,416.18
  5. Step 5: Solve for x
    x = 7,837,416.18/2,695.92
  6. Step 6: Final answer
    x = 2,907.14

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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.