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Finding the Fourth Proportional to 1,414.13, 2,120.89 and 893.43

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Solution

The fourth proportional to 1,414.13, 2,120.89 and 893.43 is: 1,339.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.13 : 2,120.89 = 893.43 : x
  2. Step 2: Convert to fraction form
    1,414.13/2,120.89 = 893.43/x
  3. Step 3: Cross multiply
    1,414.13x = 2,120.89 × 893.43
  4. Step 4: Simplify right side
    1,414.13x = 1,894,866.75
  5. Step 5: Solve for x
    x = 1,894,866.75/1,414.13
  6. Step 6: Final answer
    x = 1,339.95

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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.