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Finding the Fourth Proportional to 3,232.90, 4,845.56 and 1,497.88

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Solution

The fourth proportional to 3,232.90, 4,845.56 and 1,497.88 is: 2,245.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.90 : 4,845.56 = 1,497.88 : x
  2. Step 2: Convert to fraction form
    3,232.90/4,845.56 = 1,497.88/x
  3. Step 3: Cross multiply
    3,232.90x = 4,845.56 × 1,497.88
  4. Step 4: Simplify right side
    3,232.90x = 7,258,067.41
  5. Step 5: Solve for x
    x = 7,258,067.41/3,232.90
  6. Step 6: Final answer
    x = 2,245.06

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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.