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Finding the Fourth Proportional to 1,344.61, 1,857.97 and 1,289.94

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Solution

The fourth proportional to 1,344.61, 1,857.97 and 1,289.94 is: 1,782.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.61 : 1,857.97 = 1,289.94 : x
  2. Step 2: Convert to fraction form
    1,344.61/1,857.97 = 1,289.94/x
  3. Step 3: Cross multiply
    1,344.61x = 1,857.97 × 1,289.94
  4. Step 4: Simplify right side
    1,344.61x = 2,396,669.82
  5. Step 5: Solve for x
    x = 2,396,669.82/1,344.61
  6. Step 6: Final answer
    x = 1,782.43

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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.