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Finding the Fourth Proportional to 1,980.94, 2,968.07 and 1,286.57

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Solution

The fourth proportional to 1,980.94, 2,968.07 and 1,286.57 is: 1,927.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.94 : 2,968.07 = 1,286.57 : x
  2. Step 2: Convert to fraction form
    1,980.94/2,968.07 = 1,286.57/x
  3. Step 3: Cross multiply
    1,980.94x = 2,968.07 × 1,286.57
  4. Step 4: Simplify right side
    1,980.94x = 3,818,619.18
  5. Step 5: Solve for x
    x = 3,818,619.18/1,980.94
  6. Step 6: Final answer
    x = 1,927.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.