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Finding the Fourth Proportional to 2,823.22, 4,235.05 and 949.39

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Solution

The fourth proportional to 2,823.22, 4,235.05 and 949.39 is: 1,424.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.22 : 4,235.05 = 949.39 : x
  2. Step 2: Convert to fraction form
    2,823.22/4,235.05 = 949.39/x
  3. Step 3: Cross multiply
    2,823.22x = 4,235.05 × 949.39
  4. Step 4: Simplify right side
    2,823.22x = 4,020,704.72
  5. Step 5: Solve for x
    x = 4,020,704.72/2,823.22
  6. Step 6: Final answer
    x = 1,424.16

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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.