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Finding the Fourth Proportional to 1,891.61, 2,833.77 and 1,583

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Solution

The fourth proportional to 1,891.61, 2,833.77 and 1,583 is: 2,371.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.61 : 2,833.77 = 1,583 : x
  2. Step 2: Convert to fraction form
    1,891.61/2,833.77 = 1,583/x
  3. Step 3: Cross multiply
    1,891.61x = 2,833.77 × 1,583
  4. Step 4: Simplify right side
    1,891.61x = 4,485,857.91
  5. Step 5: Solve for x
    x = 4,485,857.91/1,891.61
  6. Step 6: Final answer
    x = 2,371.45

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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.