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Finding the Fourth Proportional to 4,308.80, 6,459.60 and 2,256.80

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Solution

The fourth proportional to 4,308.80, 6,459.60 and 2,256.80 is: 3,383.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,308.80 : 6,459.60 = 2,256.80 : x
  2. Step 2: Convert to fraction form
    4,308.80/6,459.60 = 2,256.80/x
  3. Step 3: Cross multiply
    4,308.80x = 6,459.60 × 2,256.80
  4. Step 4: Simplify right side
    4,308.80x = 14,578,025.28
  5. Step 5: Solve for x
    x = 14,578,025.28/4,308.80
  6. Step 6: Final answer
    x = 3,383.31

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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.