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Finding the Fourth Proportional to 3,133.56, 4,696.50 and 1,979.64

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Solution

The fourth proportional to 3,133.56, 4,696.50 and 1,979.64 is: 2,967.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.56 : 4,696.50 = 1,979.64 : x
  2. Step 2: Convert to fraction form
    3,133.56/4,696.50 = 1,979.64/x
  3. Step 3: Cross multiply
    3,133.56x = 4,696.50 × 1,979.64
  4. Step 4: Simplify right side
    3,133.56x = 9,297,379.26
  5. Step 5: Solve for x
    x = 9,297,379.26/3,133.56
  6. Step 6: Final answer
    x = 2,967.03

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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.