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Finding the Fourth Proportional to 1,862.25, 2,789.11 and 889.03

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Solution

The fourth proportional to 1,862.25, 2,789.11 and 889.03 is: 1,331.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.25 : 2,789.11 = 889.03 : x
  2. Step 2: Convert to fraction form
    1,862.25/2,789.11 = 889.03/x
  3. Step 3: Cross multiply
    1,862.25x = 2,789.11 × 889.03
  4. Step 4: Simplify right side
    1,862.25x = 2,479,602.46
  5. Step 5: Solve for x
    x = 2,479,602.46/1,862.25
  6. Step 6: Final answer
    x = 1,331.51

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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.