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Finding the Fourth Proportional to 1,454.71, 2,181.99 and 414.82

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Solution

The fourth proportional to 1,454.71, 2,181.99 and 414.82 is: 622.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.71 : 2,181.99 = 414.82 : x
  2. Step 2: Convert to fraction form
    1,454.71/2,181.99 = 414.82/x
  3. Step 3: Cross multiply
    1,454.71x = 2,181.99 × 414.82
  4. Step 4: Simplify right side
    1,454.71x = 905,133.09
  5. Step 5: Solve for x
    x = 905,133.09/1,454.71
  6. Step 6: Final answer
    x = 622.21

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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.