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Finding the Fourth Proportional to 2,104.36, 2,903.34 and 1,265.38

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Solution

The fourth proportional to 2,104.36, 2,903.34 and 1,265.38 is: 1,745.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.36 : 2,903.34 = 1,265.38 : x
  2. Step 2: Convert to fraction form
    2,104.36/2,903.34 = 1,265.38/x
  3. Step 3: Cross multiply
    2,104.36x = 2,903.34 × 1,265.38
  4. Step 4: Simplify right side
    2,104.36x = 3,673,828.37
  5. Step 5: Solve for x
    x = 3,673,828.37/2,104.36
  6. Step 6: Final answer
    x = 1,745.82

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Why These Related Problems?

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