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Finding the Fourth Proportional to 1,627.99, 2,442.10 and 806.04

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Solution

The fourth proportional to 1,627.99, 2,442.10 and 806.04 is: 1,209.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.99 : 2,442.10 = 806.04 : x
  2. Step 2: Convert to fraction form
    1,627.99/2,442.10 = 806.04/x
  3. Step 3: Cross multiply
    1,627.99x = 2,442.10 × 806.04
  4. Step 4: Simplify right side
    1,627.99x = 1,968,433.25
  5. Step 5: Solve for x
    x = 1,968,433.25/1,627.99
  6. Step 6: Final answer
    x = 1,209.12

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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.