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Finding the Fourth Proportional to 2,974.70, 4,462.76 and 1,026.92

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Solution

The fourth proportional to 2,974.70, 4,462.76 and 1,026.92 is: 1,540.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.70 : 4,462.76 = 1,026.92 : x
  2. Step 2: Convert to fraction form
    2,974.70/4,462.76 = 1,026.92/x
  3. Step 3: Cross multiply
    2,974.70x = 4,462.76 × 1,026.92
  4. Step 4: Simplify right side
    2,974.70x = 4,582,911.22
  5. Step 5: Solve for x
    x = 4,582,911.22/2,974.70
  6. Step 6: Final answer
    x = 1,540.63

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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.