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Finding the Fourth Proportional to 1,726.75, 2,383.46 and 1,105.75

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Solution

The fourth proportional to 1,726.75, 2,383.46 and 1,105.75 is: 1,526.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.75 : 2,383.46 = 1,105.75 : x
  2. Step 2: Convert to fraction form
    1,726.75/2,383.46 = 1,105.75/x
  3. Step 3: Cross multiply
    1,726.75x = 2,383.46 × 1,105.75
  4. Step 4: Simplify right side
    1,726.75x = 2,635,510.90
  5. Step 5: Solve for x
    x = 2,635,510.90/1,726.75
  6. Step 6: Final answer
    x = 1,526.28

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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.