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Finding the Fourth Proportional to 3,201.32, 4,802.52 and 1,252.46

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Solution

The fourth proportional to 3,201.32, 4,802.52 and 1,252.46 is: 1,878.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.32 : 4,802.52 = 1,252.46 : x
  2. Step 2: Convert to fraction form
    3,201.32/4,802.52 = 1,252.46/x
  3. Step 3: Cross multiply
    3,201.32x = 4,802.52 × 1,252.46
  4. Step 4: Simplify right side
    3,201.32x = 6,014,964.20
  5. Step 5: Solve for x
    x = 6,014,964.20/3,201.32
  6. Step 6: Final answer
    x = 1,878.90

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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.