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Finding the Fourth Proportional to 2,642.07, 3,964.46 and 1,343.54

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Solution

The fourth proportional to 2,642.07, 3,964.46 and 1,343.54 is: 2,015.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.07 : 3,964.46 = 1,343.54 : x
  2. Step 2: Convert to fraction form
    2,642.07/3,964.46 = 1,343.54/x
  3. Step 3: Cross multiply
    2,642.07x = 3,964.46 × 1,343.54
  4. Step 4: Simplify right side
    2,642.07x = 5,326,384.05
  5. Step 5: Solve for x
    x = 5,326,384.05/2,642.07
  6. Step 6: Final answer
    x = 2,015.99

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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.