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Finding the Fourth Proportional to 1,980.96, 2,969.44 and 1,431.80

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Solution

The fourth proportional to 1,980.96, 2,969.44 and 1,431.80 is: 2,146.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.96 : 2,969.44 = 1,431.80 : x
  2. Step 2: Convert to fraction form
    1,980.96/2,969.44 = 1,431.80/x
  3. Step 3: Cross multiply
    1,980.96x = 2,969.44 × 1,431.80
  4. Step 4: Simplify right side
    1,980.96x = 4,251,644.19
  5. Step 5: Solve for x
    x = 4,251,644.19/1,980.96
  6. Step 6: Final answer
    x = 2,146.25

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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.