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Finding the Fourth Proportional to 2,493.87, 3,441.60 and 1,374.90

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Solution

The fourth proportional to 2,493.87, 3,441.60 and 1,374.90 is: 1,897.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.87 : 3,441.60 = 1,374.90 : x
  2. Step 2: Convert to fraction form
    2,493.87/3,441.60 = 1,374.90/x
  3. Step 3: Cross multiply
    2,493.87x = 3,441.60 × 1,374.90
  4. Step 4: Simplify right side
    2,493.87x = 4,731,855.84
  5. Step 5: Solve for x
    x = 4,731,855.84/2,493.87
  6. Step 6: Final answer
    x = 1,897.39

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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.