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Finding the Fourth Proportional to 2,093.09, 2,888.19 and 1,208.77

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Solution

The fourth proportional to 2,093.09, 2,888.19 and 1,208.77 is: 1,667.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.09 : 2,888.19 = 1,208.77 : x
  2. Step 2: Convert to fraction form
    2,093.09/2,888.19 = 1,208.77/x
  3. Step 3: Cross multiply
    2,093.09x = 2,888.19 × 1,208.77
  4. Step 4: Simplify right side
    2,093.09x = 3,491,150.21
  5. Step 5: Solve for x
    x = 3,491,150.21/2,093.09
  6. Step 6: Final answer
    x = 1,667.94

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1.5x scale

Why These Related Problems?

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