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Finding the Fourth Proportional to 2,125.59, 2,933.33 and 1,194.09

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Solution

The fourth proportional to 2,125.59, 2,933.33 and 1,194.09 is: 1,647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.59 : 2,933.33 = 1,194.09 : x
  2. Step 2: Convert to fraction form
    2,125.59/2,933.33 = 1,194.09/x
  3. Step 3: Cross multiply
    2,125.59x = 2,933.33 × 1,194.09
  4. Step 4: Simplify right side
    2,125.59x = 3,502,660.02
  5. Step 5: Solve for x
    x = 3,502,660.02/2,125.59
  6. Step 6: Final answer
    x = 1,647.85

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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.