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Finding the Fourth Proportional to 1,735.42, 2,394.94 and 1,105.96

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Solution

The fourth proportional to 1,735.42, 2,394.94 and 1,105.96 is: 1,526.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.42 : 2,394.94 = 1,105.96 : x
  2. Step 2: Convert to fraction form
    1,735.42/2,394.94 = 1,105.96/x
  3. Step 3: Cross multiply
    1,735.42x = 2,394.94 × 1,105.96
  4. Step 4: Simplify right side
    1,735.42x = 2,648,707.84
  5. Step 5: Solve for x
    x = 2,648,707.84/1,735.42
  6. Step 6: Final answer
    x = 1,526.26

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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.