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Finding the Fourth Proportional to 2,103.66, 2,902.82 and 1,264.37

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Solution

The fourth proportional to 2,103.66, 2,902.82 and 1,264.37 is: 1,744.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.66 : 2,902.82 = 1,264.37 : x
  2. Step 2: Convert to fraction form
    2,103.66/2,902.82 = 1,264.37/x
  3. Step 3: Cross multiply
    2,103.66x = 2,902.82 × 1,264.37
  4. Step 4: Simplify right side
    2,103.66x = 3,670,217.69
  5. Step 5: Solve for x
    x = 3,670,217.69/2,103.66
  6. Step 6: Final answer
    x = 1,744.68

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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.