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Finding the Fourth Proportional to 1,634.58, 2,453.40 and 813.24

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Solution

The fourth proportional to 1,634.58, 2,453.40 and 813.24 is: 1,220.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.58 : 2,453.40 = 813.24 : x
  2. Step 2: Convert to fraction form
    1,634.58/2,453.40 = 813.24/x
  3. Step 3: Cross multiply
    1,634.58x = 2,453.40 × 813.24
  4. Step 4: Simplify right side
    1,634.58x = 1,995,203.02
  5. Step 5: Solve for x
    x = 1,995,203.02/1,634.58
  6. Step 6: Final answer
    x = 1,220.62

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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.