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Finding the Fourth Proportional to 2,297.47, 3,446.20 and 836.63

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Solution

The fourth proportional to 2,297.47, 3,446.20 and 836.63 is: 1,254.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.47 : 3,446.20 = 836.63 : x
  2. Step 2: Convert to fraction form
    2,297.47/3,446.20 = 836.63/x
  3. Step 3: Cross multiply
    2,297.47x = 3,446.20 × 836.63
  4. Step 4: Simplify right side
    2,297.47x = 2,883,194.31
  5. Step 5: Solve for x
    x = 2,883,194.31/2,297.47
  6. Step 6: Final answer
    x = 1,254.95

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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.