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Finding the Fourth Proportional to 1,777.94, 2,668.18 and 668.32

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Solution

The fourth proportional to 1,777.94, 2,668.18 and 668.32 is: 1,002.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.94 : 2,668.18 = 668.32 : x
  2. Step 2: Convert to fraction form
    1,777.94/2,668.18 = 668.32/x
  3. Step 3: Cross multiply
    1,777.94x = 2,668.18 × 668.32
  4. Step 4: Simplify right side
    1,777.94x = 1,783,198.06
  5. Step 5: Solve for x
    x = 1,783,198.06/1,777.94
  6. Step 6: Final answer
    x = 1,002.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.