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Finding the Fourth Proportional to 1,735.17, 2,394.80 and 1,105.97

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Solution

The fourth proportional to 1,735.17, 2,394.80 and 1,105.97 is: 1,526.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.17 : 2,394.80 = 1,105.97 : x
  2. Step 2: Convert to fraction form
    1,735.17/2,394.80 = 1,105.97/x
  3. Step 3: Cross multiply
    1,735.17x = 2,394.80 × 1,105.97
  4. Step 4: Simplify right side
    1,735.17x = 2,648,576.96
  5. Step 5: Solve for x
    x = 2,648,576.96/1,735.17
  6. Step 6: Final answer
    x = 1,526.41

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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.