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Finding the Fourth Proportional to 2,999.68, 4,507.52 and 1,614.08

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Solution

The fourth proportional to 2,999.68, 4,507.52 and 1,614.08 is: 2,425.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.68 : 4,507.52 = 1,614.08 : x
  2. Step 2: Convert to fraction form
    2,999.68/4,507.52 = 1,614.08/x
  3. Step 3: Cross multiply
    2,999.68x = 4,507.52 × 1,614.08
  4. Step 4: Simplify right side
    2,999.68x = 7,275,497.88
  5. Step 5: Solve for x
    x = 7,275,497.88/2,999.68
  6. Step 6: Final answer
    x = 2,425.42

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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.