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Finding the Fourth Proportional to 2,451.06, 3,676.74 and 990.17

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Solution

The fourth proportional to 2,451.06, 3,676.74 and 990.17 is: 1,485.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.06 : 3,676.74 = 990.17 : x
  2. Step 2: Convert to fraction form
    2,451.06/3,676.74 = 990.17/x
  3. Step 3: Cross multiply
    2,451.06x = 3,676.74 × 990.17
  4. Step 4: Simplify right side
    2,451.06x = 3,640,615.59
  5. Step 5: Solve for x
    x = 3,640,615.59/2,451.06
  6. Step 6: Final answer
    x = 1,485.32

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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.