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Finding the Fourth Proportional to 3,203.28, 4,806.14 and 1,256.84

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Solution

The fourth proportional to 3,203.28, 4,806.14 and 1,256.84 is: 1,885.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.28 : 4,806.14 = 1,256.84 : x
  2. Step 2: Convert to fraction form
    3,203.28/4,806.14 = 1,256.84/x
  3. Step 3: Cross multiply
    3,203.28x = 4,806.14 × 1,256.84
  4. Step 4: Simplify right side
    3,203.28x = 6,040,549.00
  5. Step 5: Solve for x
    x = 6,040,549.00/3,203.28
  6. Step 6: Final answer
    x = 1,885.74

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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.