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Finding the Fourth Proportional to 1,784.39, 2,676.83 and 614.68

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Solution

The fourth proportional to 1,784.39, 2,676.83 and 614.68 is: 922.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.39 : 2,676.83 = 614.68 : x
  2. Step 2: Convert to fraction form
    1,784.39/2,676.83 = 614.68/x
  3. Step 3: Cross multiply
    1,784.39x = 2,676.83 × 614.68
  4. Step 4: Simplify right side
    1,784.39x = 1,645,384.10
  5. Step 5: Solve for x
    x = 1,645,384.10/1,784.39
  6. Step 6: Final answer
    x = 922.10

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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.