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Finding the Fourth Proportional to 1,906.29, 2,858.19 and 810.36

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Solution

The fourth proportional to 1,906.29, 2,858.19 and 810.36 is: 1,215.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.29 : 2,858.19 = 810.36 : x
  2. Step 2: Convert to fraction form
    1,906.29/2,858.19 = 810.36/x
  3. Step 3: Cross multiply
    1,906.29x = 2,858.19 × 810.36
  4. Step 4: Simplify right side
    1,906.29x = 2,316,162.85
  5. Step 5: Solve for x
    x = 2,316,162.85/1,906.29
  6. Step 6: Final answer
    x = 1,215.01

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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.