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Finding the Fourth Proportional to 2,093.37, 2,888.87 and 1,209.15

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Solution

The fourth proportional to 2,093.37, 2,888.87 and 1,209.15 is: 1,668.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.37 : 2,888.87 = 1,209.15 : x
  2. Step 2: Convert to fraction form
    2,093.37/2,888.87 = 1,209.15/x
  3. Step 3: Cross multiply
    2,093.37x = 2,888.87 × 1,209.15
  4. Step 4: Simplify right side
    2,093.37x = 3,493,071.11
  5. Step 5: Solve for x
    x = 3,493,071.11/2,093.37
  6. Step 6: Final answer
    x = 1,668.64

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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.