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Finding the Fourth Proportional to 1,892.84, 2,834.44 and 1,583.91

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Solution

The fourth proportional to 1,892.84, 2,834.44 and 1,583.91 is: 2,371.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.84 : 2,834.44 = 1,583.91 : x
  2. Step 2: Convert to fraction form
    1,892.84/2,834.44 = 1,583.91/x
  3. Step 3: Cross multiply
    1,892.84x = 2,834.44 × 1,583.91
  4. Step 4: Simplify right side
    1,892.84x = 4,489,493.90
  5. Step 5: Solve for x
    x = 4,489,493.90/1,892.84
  6. Step 6: Final answer
    x = 2,371.84

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Why These Related Problems?

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