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Finding the Fourth Proportional to 2,366.96, 3,546.12 and 1,634.48

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Solution

The fourth proportional to 2,366.96, 3,546.12 and 1,634.48 is: 2,448.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.96 : 3,546.12 = 1,634.48 : x
  2. Step 2: Convert to fraction form
    2,366.96/3,546.12 = 1,634.48/x
  3. Step 3: Cross multiply
    2,366.96x = 3,546.12 × 1,634.48
  4. Step 4: Simplify right side
    2,366.96x = 5,796,062.22
  5. Step 5: Solve for x
    x = 5,796,062.22/2,366.96
  6. Step 6: Final answer
    x = 2,448.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.