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Finding the Fourth Proportional to 3,201.64, 4,803.90 and 1,740.28

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Solution

The fourth proportional to 3,201.64, 4,803.90 and 1,740.28 is: 2,611.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.64 : 4,803.90 = 1,740.28 : x
  2. Step 2: Convert to fraction form
    3,201.64/4,803.90 = 1,740.28/x
  3. Step 3: Cross multiply
    3,201.64x = 4,803.90 × 1,740.28
  4. Step 4: Simplify right side
    3,201.64x = 8,360,131.09
  5. Step 5: Solve for x
    x = 8,360,131.09/3,201.64
  6. Step 6: Final answer
    x = 2,611.20

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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.