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Finding the Fourth Proportional to 3,120.98, 4,301.02 and 2,235.24

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Solution

The fourth proportional to 3,120.98, 4,301.02 and 2,235.24 is: 3,080.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120.98 : 4,301.02 = 2,235.24 : x
  2. Step 2: Convert to fraction form
    3,120.98/4,301.02 = 2,235.24/x
  3. Step 3: Cross multiply
    3,120.98x = 4,301.02 × 2,235.24
  4. Step 4: Simplify right side
    3,120.98x = 9,613,806.36
  5. Step 5: Solve for x
    x = 9,613,806.36/3,120.98
  6. Step 6: Final answer
    x = 3,080.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.