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Finding the Fourth Proportional to 2,093.43, 2,889 and 1,161.93

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Solution

The fourth proportional to 2,093.43, 2,889 and 1,161.93 is: 1,603.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.43 : 2,889 = 1,161.93 : x
  2. Step 2: Convert to fraction form
    2,093.43/2,889 = 1,161.93/x
  3. Step 3: Cross multiply
    2,093.43x = 2,889 × 1,161.93
  4. Step 4: Simplify right side
    2,093.43x = 3,356,815.77
  5. Step 5: Solve for x
    x = 3,356,815.77/2,093.43
  6. Step 6: Final answer
    x = 1,603.50

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