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Finding the Fourth Proportional to 1,834.93, 2,534.31 and 1,208.26

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Solution

The fourth proportional to 1,834.93, 2,534.31 and 1,208.26 is: 1,668.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.93 : 2,534.31 = 1,208.26 : x
  2. Step 2: Convert to fraction form
    1,834.93/2,534.31 = 1,208.26/x
  3. Step 3: Cross multiply
    1,834.93x = 2,534.31 × 1,208.26
  4. Step 4: Simplify right side
    1,834.93x = 3,062,113.83
  5. Step 5: Solve for x
    x = 3,062,113.83/1,834.93
  6. Step 6: Final answer
    x = 1,668.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.