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Finding the Fourth Proportional to 1,634.35, 2,451.49 and 660.19

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Solution

The fourth proportional to 1,634.35, 2,451.49 and 660.19 is: 990.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.35 : 2,451.49 = 660.19 : x
  2. Step 2: Convert to fraction form
    1,634.35/2,451.49 = 660.19/x
  3. Step 3: Cross multiply
    1,634.35x = 2,451.49 × 660.19
  4. Step 4: Simplify right side
    1,634.35x = 1,618,449.18
  5. Step 5: Solve for x
    x = 1,618,449.18/1,634.35
  6. Step 6: Final answer
    x = 990.27

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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.