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Finding the Fourth Proportional to 1,927.87, 2,891.90 and 541.22

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Solution

The fourth proportional to 1,927.87, 2,891.90 and 541.22 is: 811.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.87 : 2,891.90 = 541.22 : x
  2. Step 2: Convert to fraction form
    1,927.87/2,891.90 = 541.22/x
  3. Step 3: Cross multiply
    1,927.87x = 2,891.90 × 541.22
  4. Step 4: Simplify right side
    1,927.87x = 1,565,141.01
  5. Step 5: Solve for x
    x = 1,565,141.01/1,927.87
  6. Step 6: Final answer
    x = 811.85

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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.