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Finding the Fourth Proportional to 2,147.05, 2,963.00 and 1,202.83

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Solution

The fourth proportional to 2,147.05, 2,963.00 and 1,202.83 is: 1,659.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.05 : 2,963.00 = 1,202.83 : x
  2. Step 2: Convert to fraction form
    2,147.05/2,963.00 = 1,202.83/x
  3. Step 3: Cross multiply
    2,147.05x = 2,963.00 × 1,202.83
  4. Step 4: Simplify right side
    2,147.05x = 3,563,964.46
  5. Step 5: Solve for x
    x = 3,563,964.46/2,147.05
  6. Step 6: Final answer
    x = 1,659.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.