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Finding the Fourth Proportional to 2,406.98, 3,610.97 and 1,367.46

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Solution

The fourth proportional to 2,406.98, 3,610.97 and 1,367.46 is: 2,051.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.98 : 3,610.97 = 1,367.46 : x
  2. Step 2: Convert to fraction form
    2,406.98/3,610.97 = 1,367.46/x
  3. Step 3: Cross multiply
    2,406.98x = 3,610.97 × 1,367.46
  4. Step 4: Simplify right side
    2,406.98x = 4,937,857.04
  5. Step 5: Solve for x
    x = 4,937,857.04/2,406.98
  6. Step 6: Final answer
    x = 2,051.48

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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.