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Finding the Fourth Proportional to 2,189.59, 3,021.57 and 1,194.89

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Solution

The fourth proportional to 2,189.59, 3,021.57 and 1,194.89 is: 1,648.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.59 : 3,021.57 = 1,194.89 : x
  2. Step 2: Convert to fraction form
    2,189.59/3,021.57 = 1,194.89/x
  3. Step 3: Cross multiply
    2,189.59x = 3,021.57 × 1,194.89
  4. Step 4: Simplify right side
    2,189.59x = 3,610,428.67
  5. Step 5: Solve for x
    x = 3,610,428.67/2,189.59
  6. Step 6: Final answer
    x = 1,648.91

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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.