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Finding the Fourth Proportional to 2,762.67, 4,144.03 and 788.30

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Solution

The fourth proportional to 2,762.67, 4,144.03 and 788.30 is: 1,182.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.67 : 4,144.03 = 788.30 : x
  2. Step 2: Convert to fraction form
    2,762.67/4,144.03 = 788.30/x
  3. Step 3: Cross multiply
    2,762.67x = 4,144.03 × 788.30
  4. Step 4: Simplify right side
    2,762.67x = 3,266,738.85
  5. Step 5: Solve for x
    x = 3,266,738.85/2,762.67
  6. Step 6: Final answer
    x = 1,182.46

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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.