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Finding the Fourth Proportional to 3,202.94, 4,802.40 and 1,353.08

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Solution

The fourth proportional to 3,202.94, 4,802.40 and 1,353.08 is: 2,028.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.94 : 4,802.40 = 1,353.08 : x
  2. Step 2: Convert to fraction form
    3,202.94/4,802.40 = 1,353.08/x
  3. Step 3: Cross multiply
    3,202.94x = 4,802.40 × 1,353.08
  4. Step 4: Simplify right side
    3,202.94x = 6,498,007.38
  5. Step 5: Solve for x
    x = 6,498,007.38/3,202.94
  6. Step 6: Final answer
    x = 2,028.77

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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.