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Finding the Fourth Proportional to 3,283.56, 4,923.72 and 1,202.00

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Solution

The fourth proportional to 3,283.56, 4,923.72 and 1,202.00 is: 1,802.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.56 : 4,923.72 = 1,202.00 : x
  2. Step 2: Convert to fraction form
    3,283.56/4,923.72 = 1,202.00/x
  3. Step 3: Cross multiply
    3,283.56x = 4,923.72 × 1,202.00
  4. Step 4: Simplify right side
    3,283.56x = 5,918,286.82
  5. Step 5: Solve for x
    x = 5,918,286.82/3,283.56
  6. Step 6: Final answer
    x = 1,802.40

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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.