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Finding the Fourth Proportional to 1,910.57, 2,635.99 and 1,203.12

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Solution

The fourth proportional to 1,910.57, 2,635.99 and 1,203.12 is: 1,659.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,910.57 : 2,635.99 = 1,203.12 : x
  2. Step 2: Convert to fraction form
    1,910.57/2,635.99 = 1,203.12/x
  3. Step 3: Cross multiply
    1,910.57x = 2,635.99 × 1,203.12
  4. Step 4: Simplify right side
    1,910.57x = 3,171,409.28
  5. Step 5: Solve for x
    x = 3,171,409.28/1,910.57
  6. Step 6: Final answer
    x = 1,659.93

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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.