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Finding the Fourth Proportional to 3,205.40, 4,806.88 and 1,257.16

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Solution

The fourth proportional to 3,205.40, 4,806.88 and 1,257.16 is: 1,885.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.40 : 4,806.88 = 1,257.16 : x
  2. Step 2: Convert to fraction form
    3,205.40/4,806.88 = 1,257.16/x
  3. Step 3: Cross multiply
    3,205.40x = 4,806.88 × 1,257.16
  4. Step 4: Simplify right side
    3,205.40x = 6,043,017.26
  5. Step 5: Solve for x
    x = 6,043,017.26/3,205.40
  6. Step 6: Final answer
    x = 1,885.26

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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.