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Finding the Fourth Proportional to 2,976.03, 4,460.40 and 1,414.80

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Solution

The fourth proportional to 2,976.03, 4,460.40 and 1,414.80 is: 2,120.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.03 : 4,460.40 = 1,414.80 : x
  2. Step 2: Convert to fraction form
    2,976.03/4,460.40 = 1,414.80/x
  3. Step 3: Cross multiply
    2,976.03x = 4,460.40 × 1,414.80
  4. Step 4: Simplify right side
    2,976.03x = 6,310,573.92
  5. Step 5: Solve for x
    x = 6,310,573.92/2,976.03
  6. Step 6: Final answer
    x = 2,120.47

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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.