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Finding the Fourth Proportional to 2,194.77, 3,029.06 and 1,250.90

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Solution

The fourth proportional to 2,194.77, 3,029.06 and 1,250.90 is: 1,726.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.77 : 3,029.06 = 1,250.90 : x
  2. Step 2: Convert to fraction form
    2,194.77/3,029.06 = 1,250.90/x
  3. Step 3: Cross multiply
    2,194.77x = 3,029.06 × 1,250.90
  4. Step 4: Simplify right side
    2,194.77x = 3,789,051.15
  5. Step 5: Solve for x
    x = 3,789,051.15/2,194.77
  6. Step 6: Final answer
    x = 1,726.40

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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.