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Finding the Fourth Proportional to 1,735.78, 2,394.06 and 1,105.60

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Solution

The fourth proportional to 1,735.78, 2,394.06 and 1,105.60 is: 1,524.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.78 : 2,394.06 = 1,105.60 : x
  2. Step 2: Convert to fraction form
    1,735.78/2,394.06 = 1,105.60/x
  3. Step 3: Cross multiply
    1,735.78x = 2,394.06 × 1,105.60
  4. Step 4: Simplify right side
    1,735.78x = 2,646,872.74
  5. Step 5: Solve for x
    x = 2,646,872.74/1,735.78
  6. Step 6: Final answer
    x = 1,524.89

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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.