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Finding the Fourth Proportional to 2,131.57, 3,197.40 and 670.72

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Solution

The fourth proportional to 2,131.57, 3,197.40 and 670.72 is: 1,006.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.57 : 3,197.40 = 670.72 : x
  2. Step 2: Convert to fraction form
    2,131.57/3,197.40 = 670.72/x
  3. Step 3: Cross multiply
    2,131.57x = 3,197.40 × 670.72
  4. Step 4: Simplify right side
    2,131.57x = 2,144,560.13
  5. Step 5: Solve for x
    x = 2,144,560.13/2,131.57
  6. Step 6: Final answer
    x = 1,006.09

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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.