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Finding the Fourth Proportional to 3,203.44, 4,807.89 and 1,257.01

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Solution

The fourth proportional to 3,203.44, 4,807.89 and 1,257.01 is: 1,886.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.44 : 4,807.89 = 1,257.01 : x
  2. Step 2: Convert to fraction form
    3,203.44/4,807.89 = 1,257.01/x
  3. Step 3: Cross multiply
    3,203.44x = 4,807.89 × 1,257.01
  4. Step 4: Simplify right side
    3,203.44x = 6,043,553.79
  5. Step 5: Solve for x
    x = 6,043,553.79/3,203.44
  6. Step 6: Final answer
    x = 1,886.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.