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Finding the Fourth Proportional to 2,642.27, 3,964.01 and 1,409.03

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Solution

The fourth proportional to 2,642.27, 3,964.01 and 1,409.03 is: 2,113.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.27 : 3,964.01 = 1,409.03 : x
  2. Step 2: Convert to fraction form
    2,642.27/3,964.01 = 1,409.03/x
  3. Step 3: Cross multiply
    2,642.27x = 3,964.01 × 1,409.03
  4. Step 4: Simplify right side
    2,642.27x = 5,585,409.01
  5. Step 5: Solve for x
    x = 5,585,409.01/2,642.27
  6. Step 6: Final answer
    x = 2,113.87

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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.