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Finding the Fourth Proportional to 1,284.76, 1,936.36 and 1,213.23

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Solution

The fourth proportional to 1,284.76, 1,936.36 and 1,213.23 is: 1,828.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.76 : 1,936.36 = 1,213.23 : x
  2. Step 2: Convert to fraction form
    1,284.76/1,936.36 = 1,213.23/x
  3. Step 3: Cross multiply
    1,284.76x = 1,936.36 × 1,213.23
  4. Step 4: Simplify right side
    1,284.76x = 2,349,241.10
  5. Step 5: Solve for x
    x = 2,349,241.10/1,284.76
  6. Step 6: Final answer
    x = 1,828.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.