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Finding the Fourth Proportional to 2,189.89, 3,278.74 and 1,703.89

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Solution

The fourth proportional to 2,189.89, 3,278.74 and 1,703.89 is: 2,551.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.89 : 3,278.74 = 1,703.89 : x
  2. Step 2: Convert to fraction form
    2,189.89/3,278.74 = 1,703.89/x
  3. Step 3: Cross multiply
    2,189.89x = 3,278.74 × 1,703.89
  4. Step 4: Simplify right side
    2,189.89x = 5,586,603.78
  5. Step 5: Solve for x
    x = 5,586,603.78/2,189.89
  6. Step 6: Final answer
    x = 2,551.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.