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Finding the Fourth Proportional to 2,161.13, 3,242.55 and 990.29

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Solution

The fourth proportional to 2,161.13, 3,242.55 and 990.29 is: 1,485.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.13 : 3,242.55 = 990.29 : x
  2. Step 2: Convert to fraction form
    2,161.13/3,242.55 = 990.29/x
  3. Step 3: Cross multiply
    2,161.13x = 3,242.55 × 990.29
  4. Step 4: Simplify right side
    2,161.13x = 3,211,066.15
  5. Step 5: Solve for x
    x = 3,211,066.15/2,161.13
  6. Step 6: Final answer
    x = 1,485.83

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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.