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Finding the Fourth Proportional to 2,399.04, 3,598.02 and 756.09

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Solution

The fourth proportional to 2,399.04, 3,598.02 and 756.09 is: 1,133.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.04 : 3,598.02 = 756.09 : x
  2. Step 2: Convert to fraction form
    2,399.04/3,598.02 = 756.09/x
  3. Step 3: Cross multiply
    2,399.04x = 3,598.02 × 756.09
  4. Step 4: Simplify right side
    2,399.04x = 2,720,426.94
  5. Step 5: Solve for x
    x = 2,720,426.94/2,399.04
  6. Step 6: Final answer
    x = 1,133.96

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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.