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Finding the Fourth Proportional to 2,950.56, 4,072.32 and 1,771.68

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Solution

The fourth proportional to 2,950.56, 4,072.32 and 1,771.68 is: 2,445.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.56 : 4,072.32 = 1,771.68 : x
  2. Step 2: Convert to fraction form
    2,950.56/4,072.32 = 1,771.68/x
  3. Step 3: Cross multiply
    2,950.56x = 4,072.32 × 1,771.68
  4. Step 4: Simplify right side
    2,950.56x = 7,214,847.90
  5. Step 5: Solve for x
    x = 7,214,847.90/2,950.56
  6. Step 6: Final answer
    x = 2,445.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.