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Finding the Fourth Proportional to 3,229.47, 4,840.08 and 1,769.64

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Solution

The fourth proportional to 3,229.47, 4,840.08 and 1,769.64 is: 2,652.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.47 : 4,840.08 = 1,769.64 : x
  2. Step 2: Convert to fraction form
    3,229.47/4,840.08 = 1,769.64/x
  3. Step 3: Cross multiply
    3,229.47x = 4,840.08 × 1,769.64
  4. Step 4: Simplify right side
    3,229.47x = 8,565,199.17
  5. Step 5: Solve for x
    x = 8,565,199.17/3,229.47
  6. Step 6: Final answer
    x = 2,652.20

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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.