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Finding the Fourth Proportional to 3,208.80, 4,813.20 and 869.16

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Solution

The fourth proportional to 3,208.80, 4,813.20 and 869.16 is: 1,303.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.80 : 4,813.20 = 869.16 : x
  2. Step 2: Convert to fraction form
    3,208.80/4,813.20 = 869.16/x
  3. Step 3: Cross multiply
    3,208.80x = 4,813.20 × 869.16
  4. Step 4: Simplify right side
    3,208.80x = 4,183,440.91
  5. Step 5: Solve for x
    x = 4,183,440.91/3,208.80
  6. Step 6: Final answer
    x = 1,303.74

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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.