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Finding the Fourth Proportional to 1,282.47, 1,909.87 and 1,199.43

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Solution

The fourth proportional to 1,282.47, 1,909.87 and 1,199.43 is: 1,786.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.47 : 1,909.87 = 1,199.43 : x
  2. Step 2: Convert to fraction form
    1,282.47/1,909.87 = 1,199.43/x
  3. Step 3: Cross multiply
    1,282.47x = 1,909.87 × 1,199.43
  4. Step 4: Simplify right side
    1,282.47x = 2,290,756.06
  5. Step 5: Solve for x
    x = 2,290,756.06/1,282.47
  6. Step 6: Final answer
    x = 1,786.21

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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.