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Finding the Fourth Proportional to 1,834.84, 2,749.02 and 1,789.48

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Solution

The fourth proportional to 1,834.84, 2,749.02 and 1,789.48 is: 2,681.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.84 : 2,749.02 = 1,789.48 : x
  2. Step 2: Convert to fraction form
    1,834.84/2,749.02 = 1,789.48/x
  3. Step 3: Cross multiply
    1,834.84x = 2,749.02 × 1,789.48
  4. Step 4: Simplify right side
    1,834.84x = 4,919,316.31
  5. Step 5: Solve for x
    x = 4,919,316.31/1,834.84
  6. Step 6: Final answer
    x = 2,681.06

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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.