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Finding the Fourth Proportional to 2,974.62, 4,462.24 and 1,026.37

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Solution

The fourth proportional to 2,974.62, 4,462.24 and 1,026.37 is: 1,539.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.62 : 4,462.24 = 1,026.37 : x
  2. Step 2: Convert to fraction form
    2,974.62/4,462.24 = 1,026.37/x
  3. Step 3: Cross multiply
    2,974.62x = 4,462.24 × 1,026.37
  4. Step 4: Simplify right side
    2,974.62x = 4,579,904.14
  5. Step 5: Solve for x
    x = 4,579,904.14/2,974.62
  6. Step 6: Final answer
    x = 1,539.66

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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.