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Finding the Fourth Proportional to 2,896.43, 4,353.14 and 2,405.99

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Solution

The fourth proportional to 2,896.43, 4,353.14 and 2,405.99 is: 3,616.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.43 : 4,353.14 = 2,405.99 : x
  2. Step 2: Convert to fraction form
    2,896.43/4,353.14 = 2,405.99/x
  3. Step 3: Cross multiply
    2,896.43x = 4,353.14 × 2,405.99
  4. Step 4: Simplify right side
    2,896.43x = 10,473,577.51
  5. Step 5: Solve for x
    x = 10,473,577.51/2,896.43
  6. Step 6: Final answer
    x = 3,616.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.