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Finding the Fourth Proportional to 2,494.70, 3,735.21 and 1,797.59

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Solution

The fourth proportional to 2,494.70, 3,735.21 and 1,797.59 is: 2,691.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.70 : 3,735.21 = 1,797.59 : x
  2. Step 2: Convert to fraction form
    2,494.70/3,735.21 = 1,797.59/x
  3. Step 3: Cross multiply
    2,494.70x = 3,735.21 × 1,797.59
  4. Step 4: Simplify right side
    2,494.70x = 6,714,392.22
  5. Step 5: Solve for x
    x = 6,714,392.22/2,494.70
  6. Step 6: Final answer
    x = 2,691.46

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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.