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Finding the Fourth Proportional to 1,999.13, 2,760.27 and 1,291.39

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Solution

The fourth proportional to 1,999.13, 2,760.27 and 1,291.39 is: 1,783.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.13 : 2,760.27 = 1,291.39 : x
  2. Step 2: Convert to fraction form
    1,999.13/2,760.27 = 1,291.39/x
  3. Step 3: Cross multiply
    1,999.13x = 2,760.27 × 1,291.39
  4. Step 4: Simplify right side
    1,999.13x = 3,564,573.33
  5. Step 5: Solve for x
    x = 3,564,573.33/1,999.13
  6. Step 6: Final answer
    x = 1,783.06

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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.