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Finding the Fourth Proportional to 2,093.06, 3,133.43 and 1,398.01

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Solution

The fourth proportional to 2,093.06, 3,133.43 and 1,398.01 is: 2,092.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.06 : 3,133.43 = 1,398.01 : x
  2. Step 2: Convert to fraction form
    2,093.06/3,133.43 = 1,398.01/x
  3. Step 3: Cross multiply
    2,093.06x = 3,133.43 × 1,398.01
  4. Step 4: Simplify right side
    2,093.06x = 4,380,566.47
  5. Step 5: Solve for x
    x = 4,380,566.47/2,093.06
  6. Step 6: Final answer
    x = 2,092.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.