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Finding the Fourth Proportional to 1,491.87, 2,227.75 and 1,218.49

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Solution

The fourth proportional to 1,491.87, 2,227.75 and 1,218.49 is: 1,819.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.87 : 2,227.75 = 1,218.49 : x
  2. Step 2: Convert to fraction form
    1,491.87/2,227.75 = 1,218.49/x
  3. Step 3: Cross multiply
    1,491.87x = 2,227.75 × 1,218.49
  4. Step 4: Simplify right side
    1,491.87x = 2,714,491.10
  5. Step 5: Solve for x
    x = 2,714,491.10/1,491.87
  6. Step 6: Final answer
    x = 1,819.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.