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Finding the Fourth Proportional to 2,104.90, 2,905.93 and 1,265.81

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Solution

The fourth proportional to 2,104.90, 2,905.93 and 1,265.81 is: 1,747.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.90 : 2,905.93 = 1,265.81 : x
  2. Step 2: Convert to fraction form
    2,104.90/2,905.93 = 1,265.81/x
  3. Step 3: Cross multiply
    2,104.90x = 2,905.93 × 1,265.81
  4. Step 4: Simplify right side
    2,104.90x = 3,678,335.19
  5. Step 5: Solve for x
    x = 3,678,335.19/2,104.90
  6. Step 6: Final answer
    x = 1,747.51

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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.