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Finding the Fourth Proportional to 1,283.36, 1,936.53 and 1,237.59

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Solution

The fourth proportional to 1,283.36, 1,936.53 and 1,237.59 is: 1,867.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.36 : 1,936.53 = 1,237.59 : x
  2. Step 2: Convert to fraction form
    1,283.36/1,936.53 = 1,237.59/x
  3. Step 3: Cross multiply
    1,283.36x = 1,936.53 × 1,237.59
  4. Step 4: Simplify right side
    1,283.36x = 2,396,630.16
  5. Step 5: Solve for x
    x = 2,396,630.16/1,283.36
  6. Step 6: Final answer
    x = 1,867.47

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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.