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Finding the Fourth Proportional to 3,201.64, 4,800.34 and 1,254.04

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Solution

The fourth proportional to 3,201.64, 4,800.34 and 1,254.04 is: 1,880.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.64 : 4,800.34 = 1,254.04 : x
  2. Step 2: Convert to fraction form
    3,201.64/4,800.34 = 1,254.04/x
  3. Step 3: Cross multiply
    3,201.64x = 4,800.34 × 1,254.04
  4. Step 4: Simplify right side
    3,201.64x = 6,019,818.37
  5. Step 5: Solve for x
    x = 6,019,818.37/3,201.64
  6. Step 6: Final answer
    x = 1,880.23

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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.