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Finding the Fourth Proportional to 1,491.87, 2,063.40 and 1,180.21

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Solution

The fourth proportional to 1,491.87, 2,063.40 and 1,180.21 is: 1,632.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.87 : 2,063.40 = 1,180.21 : x
  2. Step 2: Convert to fraction form
    1,491.87/2,063.40 = 1,180.21/x
  3. Step 3: Cross multiply
    1,491.87x = 2,063.40 × 1,180.21
  4. Step 4: Simplify right side
    1,491.87x = 2,435,245.31
  5. Step 5: Solve for x
    x = 2,435,245.31/1,491.87
  6. Step 6: Final answer
    x = 1,632.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.