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Finding the Fourth Proportional to 2,481.17, 3,722.30 and 837.63

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Solution

The fourth proportional to 2,481.17, 3,722.30 and 837.63 is: 1,256.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,481.17 : 3,722.30 = 837.63 : x
  2. Step 2: Convert to fraction form
    2,481.17/3,722.30 = 837.63/x
  3. Step 3: Cross multiply
    2,481.17x = 3,722.30 × 837.63
  4. Step 4: Simplify right side
    2,481.17x = 3,117,905.96
  5. Step 5: Solve for x
    x = 3,117,905.96/2,481.17
  6. Step 6: Final answer
    x = 1,256.63

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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.