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Finding the Fourth Proportional to 1,986.66, 2,981.22 and 1,012.26

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Solution

The fourth proportional to 1,986.66, 2,981.22 and 1,012.26 is: 1,519.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.66 : 2,981.22 = 1,012.26 : x
  2. Step 2: Convert to fraction form
    1,986.66/2,981.22 = 1,012.26/x
  3. Step 3: Cross multiply
    1,986.66x = 2,981.22 × 1,012.26
  4. Step 4: Simplify right side
    1,986.66x = 3,017,769.76
  5. Step 5: Solve for x
    x = 3,017,769.76/1,986.66
  6. Step 6: Final answer
    x = 1,519.02

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