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Finding the Fourth Proportional to 3,215.28, 4,823.20 and 906.80

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Solution

The fourth proportional to 3,215.28, 4,823.20 and 906.80 is: 1,360.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215.28 : 4,823.20 = 906.80 : x
  2. Step 2: Convert to fraction form
    3,215.28/4,823.20 = 906.80/x
  3. Step 3: Cross multiply
    3,215.28x = 4,823.20 × 906.80
  4. Step 4: Simplify right side
    3,215.28x = 4,373,677.76
  5. Step 5: Solve for x
    x = 4,373,677.76/3,215.28
  6. Step 6: Final answer
    x = 1,360.28

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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.