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Finding the Fourth Proportional to 1,282.12, 1,771.14 and 1,019.80

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Solution

The fourth proportional to 1,282.12, 1,771.14 and 1,019.80 is: 1,408.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.12 : 1,771.14 = 1,019.80 : x
  2. Step 2: Convert to fraction form
    1,282.12/1,771.14 = 1,019.80/x
  3. Step 3: Cross multiply
    1,282.12x = 1,771.14 × 1,019.80
  4. Step 4: Simplify right side
    1,282.12x = 1,806,208.57
  5. Step 5: Solve for x
    x = 1,806,208.57/1,282.12
  6. Step 6: Final answer
    x = 1,408.77

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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.