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Finding the Fourth Proportional to 3,201.46, 4,802.25 and 1,253.74

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Solution

The fourth proportional to 3,201.46, 4,802.25 and 1,253.74 is: 1,880.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.46 : 4,802.25 = 1,253.74 : x
  2. Step 2: Convert to fraction form
    3,201.46/4,802.25 = 1,253.74/x
  3. Step 3: Cross multiply
    3,201.46x = 4,802.25 × 1,253.74
  4. Step 4: Simplify right side
    3,201.46x = 6,020,772.92
  5. Step 5: Solve for x
    x = 6,020,772.92/3,201.46
  6. Step 6: Final answer
    x = 1,880.63

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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.