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Finding the Fourth Proportional to 1,889.76, 2,832.23 and 1,068.49

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Solution

The fourth proportional to 1,889.76, 2,832.23 and 1,068.49 is: 1,601.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.76 : 2,832.23 = 1,068.49 : x
  2. Step 2: Convert to fraction form
    1,889.76/2,832.23 = 1,068.49/x
  3. Step 3: Cross multiply
    1,889.76x = 2,832.23 × 1,068.49
  4. Step 4: Simplify right side
    1,889.76x = 3,026,209.43
  5. Step 5: Solve for x
    x = 3,026,209.43/1,889.76
  6. Step 6: Final answer
    x = 1,601.37

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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.