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Finding the Fourth Proportional to 2,735.81, 4,103.91 and 788.18

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Solution

The fourth proportional to 2,735.81, 4,103.91 and 788.18 is: 1,182.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.81 : 4,103.91 = 788.18 : x
  2. Step 2: Convert to fraction form
    2,735.81/4,103.91 = 788.18/x
  3. Step 3: Cross multiply
    2,735.81x = 4,103.91 × 788.18
  4. Step 4: Simplify right side
    2,735.81x = 3,234,619.78
  5. Step 5: Solve for x
    x = 3,234,619.78/2,735.81
  6. Step 6: Final answer
    x = 1,182.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.