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Finding the Fourth Proportional to 1,989.41, 2,969.52 and 1,755.89

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Solution

The fourth proportional to 1,989.41, 2,969.52 and 1,755.89 is: 2,620.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.41 : 2,969.52 = 1,755.89 : x
  2. Step 2: Convert to fraction form
    1,989.41/2,969.52 = 1,755.89/x
  3. Step 3: Cross multiply
    1,989.41x = 2,969.52 × 1,755.89
  4. Step 4: Simplify right side
    1,989.41x = 5,214,157.90
  5. Step 5: Solve for x
    x = 5,214,157.90/1,989.41
  6. Step 6: Final answer
    x = 2,620.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.