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Finding the Fourth Proportional to 2,842.44, 4,266.44 and 1,748.94

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Solution

The fourth proportional to 2,842.44, 4,266.44 and 1,748.94 is: 2,625.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.44 : 4,266.44 = 1,748.94 : x
  2. Step 2: Convert to fraction form
    2,842.44/4,266.44 = 1,748.94/x
  3. Step 3: Cross multiply
    2,842.44x = 4,266.44 × 1,748.94
  4. Step 4: Simplify right side
    2,842.44x = 7,461,738.83
  5. Step 5: Solve for x
    x = 7,461,738.83/2,842.44
  6. Step 6: Final answer
    x = 2,625.12

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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.