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Finding the Fourth Proportional to 2,825.92, 3,900.16 and 1,646.56

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Solution

The fourth proportional to 2,825.92, 3,900.16 and 1,646.56 is: 2,272.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.92 : 3,900.16 = 1,646.56 : x
  2. Step 2: Convert to fraction form
    2,825.92/3,900.16 = 1,646.56/x
  3. Step 3: Cross multiply
    2,825.92x = 3,900.16 × 1,646.56
  4. Step 4: Simplify right side
    2,825.92x = 6,421,847.45
  5. Step 5: Solve for x
    x = 6,421,847.45/2,825.92
  6. Step 6: Final answer
    x = 2,272.48

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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.