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Finding the Fourth Proportional to 2,503.44, 3,453.24 and 1,842

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Solution

The fourth proportional to 2,503.44, 3,453.24 and 1,842 is: 2,540.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.44 : 3,453.24 = 1,842 : x
  2. Step 2: Convert to fraction form
    2,503.44/3,453.24 = 1,842/x
  3. Step 3: Cross multiply
    2,503.44x = 3,453.24 × 1,842
  4. Step 4: Simplify right side
    2,503.44x = 6,360,868.08
  5. Step 5: Solve for x
    x = 6,360,868.08/2,503.44
  6. Step 6: Final answer
    x = 2,540.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.