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Finding the Fourth Proportional to 3,141.65, 4,713.26 and 2,219.01

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Solution

The fourth proportional to 3,141.65, 4,713.26 and 2,219.01 is: 3,329.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.65 : 4,713.26 = 2,219.01 : x
  2. Step 2: Convert to fraction form
    3,141.65/4,713.26 = 2,219.01/x
  3. Step 3: Cross multiply
    3,141.65x = 4,713.26 × 2,219.01
  4. Step 4: Simplify right side
    3,141.65x = 10,458,771.07
  5. Step 5: Solve for x
    x = 10,458,771.07/3,141.65
  6. Step 6: Final answer
    x = 3,329.07

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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.