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Finding the Fourth Proportional to 3,224.64, 4,837.44 and 1,493.76

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Solution

The fourth proportional to 3,224.64, 4,837.44 and 1,493.76 is: 2,240.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.64 : 4,837.44 = 1,493.76 : x
  2. Step 2: Convert to fraction form
    3,224.64/4,837.44 = 1,493.76/x
  3. Step 3: Cross multiply
    3,224.64x = 4,837.44 × 1,493.76
  4. Step 4: Simplify right side
    3,224.64x = 7,225,974.37
  5. Step 5: Solve for x
    x = 7,225,974.37/3,224.64
  6. Step 6: Final answer
    x = 2,240.86

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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.