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Finding the Fourth Proportional to 2,806.14, 4,215.34 and 2,412.48

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Solution

The fourth proportional to 2,806.14, 4,215.34 and 2,412.48 is: 3,623.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.14 : 4,215.34 = 2,412.48 : x
  2. Step 2: Convert to fraction form
    2,806.14/4,215.34 = 2,412.48/x
  3. Step 3: Cross multiply
    2,806.14x = 4,215.34 × 2,412.48
  4. Step 4: Simplify right side
    2,806.14x = 10,169,423.44
  5. Step 5: Solve for x
    x = 10,169,423.44/2,806.14
  6. Step 6: Final answer
    x = 3,623.99

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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.