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Finding the Fourth Proportional to 2,104.89, 2,904.84 and 1,265.98

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Solution

The fourth proportional to 2,104.89, 2,904.84 and 1,265.98 is: 1,747.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.89 : 2,904.84 = 1,265.98 : x
  2. Step 2: Convert to fraction form
    2,104.89/2,904.84 = 1,265.98/x
  3. Step 3: Cross multiply
    2,104.89x = 2,904.84 × 1,265.98
  4. Step 4: Simplify right side
    2,104.89x = 3,677,469.34
  5. Step 5: Solve for x
    x = 3,677,469.34/2,104.89
  6. Step 6: Final answer
    x = 1,747.11

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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.