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Finding the Fourth Proportional to 1,834.58, 2,736.82 and 1,784.38

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Solution

The fourth proportional to 1,834.58, 2,736.82 and 1,784.38 is: 2,661.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.58 : 2,736.82 = 1,784.38 : x
  2. Step 2: Convert to fraction form
    1,834.58/2,736.82 = 1,784.38/x
  3. Step 3: Cross multiply
    1,834.58x = 2,736.82 × 1,784.38
  4. Step 4: Simplify right side
    1,834.58x = 4,883,526.87
  5. Step 5: Solve for x
    x = 4,883,526.87/1,834.58
  6. Step 6: Final answer
    x = 2,661.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.