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Finding the Fourth Proportional to 2,004.80, 2,763.48 and 1,414

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Solution

The fourth proportional to 2,004.80, 2,763.48 and 1,414 is: 1,949.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.80 : 2,763.48 = 1,414 : x
  2. Step 2: Convert to fraction form
    2,004.80/2,763.48 = 1,414/x
  3. Step 3: Cross multiply
    2,004.80x = 2,763.48 × 1,414
  4. Step 4: Simplify right side
    2,004.80x = 3,907,560.72
  5. Step 5: Solve for x
    x = 3,907,560.72/2,004.80
  6. Step 6: Final answer
    x = 1,949.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.