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Finding the Fourth Proportional to 2,093.80, 2,889.47 and 1,209.59

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Solution

The fourth proportional to 2,093.80, 2,889.47 and 1,209.59 is: 1,669.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.80 : 2,889.47 = 1,209.59 : x
  2. Step 2: Convert to fraction form
    2,093.80/2,889.47 = 1,209.59/x
  3. Step 3: Cross multiply
    2,093.80x = 2,889.47 × 1,209.59
  4. Step 4: Simplify right side
    2,093.80x = 3,495,074.02
  5. Step 5: Solve for x
    x = 3,495,074.02/2,093.80
  6. Step 6: Final answer
    x = 1,669.25

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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.