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Finding the Fourth Proportional to 1,906.25, 2,859.75 and 810.59

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Solution

The fourth proportional to 1,906.25, 2,859.75 and 810.59 is: 1,216.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.25 : 2,859.75 = 810.59 : x
  2. Step 2: Convert to fraction form
    1,906.25/2,859.75 = 810.59/x
  3. Step 3: Cross multiply
    1,906.25x = 2,859.75 × 810.59
  4. Step 4: Simplify right side
    1,906.25x = 2,318,070.45
  5. Step 5: Solve for x
    x = 2,318,070.45/1,906.25
  6. Step 6: Final answer
    x = 1,216.04

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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.