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Finding the Fourth Proportional to 2,735.75, 4,103.76 and 788.11

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Solution

The fourth proportional to 2,735.75, 4,103.76 and 788.11 is: 1,182.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.75 : 4,103.76 = 788.11 : x
  2. Step 2: Convert to fraction form
    2,735.75/4,103.76 = 788.11/x
  3. Step 3: Cross multiply
    2,735.75x = 4,103.76 × 788.11
  4. Step 4: Simplify right side
    2,735.75x = 3,234,214.29
  5. Step 5: Solve for x
    x = 3,234,214.29/2,735.75
  6. Step 6: Final answer
    x = 1,182.20

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Why These Related Problems?

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