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Finding the Fourth Proportional to 2,964.62, 4,447.98 and 1,321.02

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Solution

The fourth proportional to 2,964.62, 4,447.98 and 1,321.02 is: 1,982.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.62 : 4,447.98 = 1,321.02 : x
  2. Step 2: Convert to fraction form
    2,964.62/4,447.98 = 1,321.02/x
  3. Step 3: Cross multiply
    2,964.62x = 4,447.98 × 1,321.02
  4. Step 4: Simplify right side
    2,964.62x = 5,875,870.54
  5. Step 5: Solve for x
    x = 5,875,870.54/2,964.62
  6. Step 6: Final answer
    x = 1,982.00

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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.