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Finding the Fourth Proportional to 1,393.56, 2,092.86 and 1,101.96

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Solution

The fourth proportional to 1,393.56, 2,092.86 and 1,101.96 is: 1,654.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.56 : 2,092.86 = 1,101.96 : x
  2. Step 2: Convert to fraction form
    1,393.56/2,092.86 = 1,101.96/x
  3. Step 3: Cross multiply
    1,393.56x = 2,092.86 × 1,101.96
  4. Step 4: Simplify right side
    1,393.56x = 2,306,248.01
  5. Step 5: Solve for x
    x = 2,306,248.01/1,393.56
  6. Step 6: Final answer
    x = 1,654.93

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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.