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Finding the Fourth Proportional to 3,199.54, 4,802.06 and 1,253.12

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Solution

The fourth proportional to 3,199.54, 4,802.06 and 1,253.12 is: 1,880.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.54 : 4,802.06 = 1,253.12 : x
  2. Step 2: Convert to fraction form
    3,199.54/4,802.06 = 1,253.12/x
  3. Step 3: Cross multiply
    3,199.54x = 4,802.06 × 1,253.12
  4. Step 4: Simplify right side
    3,199.54x = 6,017,557.43
  5. Step 5: Solve for x
    x = 6,017,557.43/3,199.54
  6. Step 6: Final answer
    x = 1,880.76

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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.