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Finding the Fourth Proportional to 2,093.50, 2,889.55 and 1,209.82

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Solution

The fourth proportional to 2,093.50, 2,889.55 and 1,209.82 is: 1,669.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.50 : 2,889.55 = 1,209.82 : x
  2. Step 2: Convert to fraction form
    2,093.50/2,889.55 = 1,209.82/x
  3. Step 3: Cross multiply
    2,093.50x = 2,889.55 × 1,209.82
  4. Step 4: Simplify right side
    2,093.50x = 3,495,833.25
  5. Step 5: Solve for x
    x = 3,495,833.25/2,093.50
  6. Step 6: Final answer
    x = 1,669.85

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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.