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Finding the Fourth Proportional to 4,494.40, 6,738.80 and 2,028.80

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Solution

The fourth proportional to 4,494.40, 6,738.80 and 2,028.80 is: 3,041.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.40 : 6,738.80 = 2,028.80 : x
  2. Step 2: Convert to fraction form
    4,494.40/6,738.80 = 2,028.80/x
  3. Step 3: Cross multiply
    4,494.40x = 6,738.80 × 2,028.80
  4. Step 4: Simplify right side
    4,494.40x = 13,671,677.44
  5. Step 5: Solve for x
    x = 13,671,677.44/4,494.40
  6. Step 6: Final answer
    x = 3,041.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.