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Finding the Fourth Proportional to 1,842.12, 2,762.88 and 746.44

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Solution

The fourth proportional to 1,842.12, 2,762.88 and 746.44 is: 1,119.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.12 : 2,762.88 = 746.44 : x
  2. Step 2: Convert to fraction form
    1,842.12/2,762.88 = 746.44/x
  3. Step 3: Cross multiply
    1,842.12x = 2,762.88 × 746.44
  4. Step 4: Simplify right side
    1,842.12x = 2,062,324.15
  5. Step 5: Solve for x
    x = 2,062,324.15/1,842.12
  6. Step 6: Final answer
    x = 1,119.54

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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.