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Finding the Fourth Proportional to 3,203.71, 4,808.27 and 1,257.28

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Solution

The fourth proportional to 3,203.71, 4,808.27 and 1,257.28 is: 1,886.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.71 : 4,808.27 = 1,257.28 : x
  2. Step 2: Convert to fraction form
    3,203.71/4,808.27 = 1,257.28/x
  3. Step 3: Cross multiply
    3,203.71x = 4,808.27 × 1,257.28
  4. Step 4: Simplify right side
    3,203.71x = 6,045,335.42
  5. Step 5: Solve for x
    x = 6,045,335.42/3,203.71
  6. Step 6: Final answer
    x = 1,886.98

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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.