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Finding the Fourth Proportional to 1,778.56, 2,668.44 and 912.64

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Solution

The fourth proportional to 1,778.56, 2,668.44 and 912.64 is: 1,369.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.56 : 2,668.44 = 912.64 : x
  2. Step 2: Convert to fraction form
    1,778.56/2,668.44 = 912.64/x
  3. Step 3: Cross multiply
    1,778.56x = 2,668.44 × 912.64
  4. Step 4: Simplify right side
    1,778.56x = 2,435,325.08
  5. Step 5: Solve for x
    x = 2,435,325.08/1,778.56
  6. Step 6: Final answer
    x = 1,369.27

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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.