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Finding the Fourth Proportional to 1,986.10, 2,980.49 and 816.31

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Solution

The fourth proportional to 1,986.10, 2,980.49 and 816.31 is: 1,225.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.10 : 2,980.49 = 816.31 : x
  2. Step 2: Convert to fraction form
    1,986.10/2,980.49 = 816.31/x
  3. Step 3: Cross multiply
    1,986.10x = 2,980.49 × 816.31
  4. Step 4: Simplify right side
    1,986.10x = 2,433,003.79
  5. Step 5: Solve for x
    x = 2,433,003.79/1,986.10
  6. Step 6: Final answer
    x = 1,225.02

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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.