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Finding the Fourth Proportional to 2,668.32, 4,002.72 and 693.94

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Solution

The fourth proportional to 2,668.32, 4,002.72 and 693.94 is: 1,040.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.32 : 4,002.72 = 693.94 : x
  2. Step 2: Convert to fraction form
    2,668.32/4,002.72 = 693.94/x
  3. Step 3: Cross multiply
    2,668.32x = 4,002.72 × 693.94
  4. Step 4: Simplify right side
    2,668.32x = 2,777,647.52
  5. Step 5: Solve for x
    x = 2,777,647.52/2,668.32
  6. Step 6: Final answer
    x = 1,040.97

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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.