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Finding the Fourth Proportional to 2,128.77, 3,193.29 and 667.98

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Solution

The fourth proportional to 2,128.77, 3,193.29 and 667.98 is: 1,002.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.77 : 3,193.29 = 667.98 : x
  2. Step 2: Convert to fraction form
    2,128.77/3,193.29 = 667.98/x
  3. Step 3: Cross multiply
    2,128.77x = 3,193.29 × 667.98
  4. Step 4: Simplify right side
    2,128.77x = 2,133,053.85
  5. Step 5: Solve for x
    x = 2,133,053.85/2,128.77
  6. Step 6: Final answer
    x = 1,002.01

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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.