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Finding the Fourth Proportional to 1,928.72, 2,662.44 and 1,290.80

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Solution

The fourth proportional to 1,928.72, 2,662.44 and 1,290.80 is: 1,781.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.72 : 2,662.44 = 1,290.80 : x
  2. Step 2: Convert to fraction form
    1,928.72/2,662.44 = 1,290.80/x
  3. Step 3: Cross multiply
    1,928.72x = 2,662.44 × 1,290.80
  4. Step 4: Simplify right side
    1,928.72x = 3,436,677.55
  5. Step 5: Solve for x
    x = 3,436,677.55/1,928.72
  6. Step 6: Final answer
    x = 1,781.84

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