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Finding the Fourth Proportional to 1,784.38, 2,676.78 and 614.60

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Solution

The fourth proportional to 1,784.38, 2,676.78 and 614.60 is: 921.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.38 : 2,676.78 = 614.60 : x
  2. Step 2: Convert to fraction form
    1,784.38/2,676.78 = 614.60/x
  3. Step 3: Cross multiply
    1,784.38x = 2,676.78 × 614.60
  4. Step 4: Simplify right side
    1,784.38x = 1,645,148.99
  5. Step 5: Solve for x
    x = 1,645,148.99/1,784.38
  6. Step 6: Final answer
    x = 921.97

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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.