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Finding the Fourth Proportional to 2,974.50, 4,460.10 and 1,220.74

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Solution

The fourth proportional to 2,974.50, 4,460.10 and 1,220.74 is: 1,830.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.50 : 4,460.10 = 1,220.74 : x
  2. Step 2: Convert to fraction form
    2,974.50/4,460.10 = 1,220.74/x
  3. Step 3: Cross multiply
    2,974.50x = 4,460.10 × 1,220.74
  4. Step 4: Simplify right side
    2,974.50x = 5,444,622.47
  5. Step 5: Solve for x
    x = 5,444,622.47/2,974.50
  6. Step 6: Final answer
    x = 1,830.43

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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.