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Finding the Fourth Proportional to 1,290.82, 1,923.88 and 1,280.62

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Solution

The fourth proportional to 1,290.82, 1,923.88 and 1,280.62 is: 1,908.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.82 : 1,923.88 = 1,280.62 : x
  2. Step 2: Convert to fraction form
    1,290.82/1,923.88 = 1,280.62/x
  3. Step 3: Cross multiply
    1,290.82x = 1,923.88 × 1,280.62
  4. Step 4: Simplify right side
    1,290.82x = 2,463,759.21
  5. Step 5: Solve for x
    x = 2,463,759.21/1,290.82
  6. Step 6: Final answer
    x = 1,908.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.