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Finding the Fourth Proportional to 2,103.30, 2,902.77 and 1,264.28

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Solution

The fourth proportional to 2,103.30, 2,902.77 and 1,264.28 is: 1,744.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.30 : 2,902.77 = 1,264.28 : x
  2. Step 2: Convert to fraction form
    2,103.30/2,902.77 = 1,264.28/x
  3. Step 3: Cross multiply
    2,103.30x = 2,902.77 × 1,264.28
  4. Step 4: Simplify right side
    2,103.30x = 3,669,899.54
  5. Step 5: Solve for x
    x = 3,669,899.54/2,103.30
  6. Step 6: Final answer
    x = 1,744.83

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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.