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Finding the Fourth Proportional to 2,131.40, 3,196.28 and 650.34

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Solution

The fourth proportional to 2,131.40, 3,196.28 and 650.34 is: 975.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.40 : 3,196.28 = 650.34 : x
  2. Step 2: Convert to fraction form
    2,131.40/3,196.28 = 650.34/x
  3. Step 3: Cross multiply
    2,131.40x = 3,196.28 × 650.34
  4. Step 4: Simplify right side
    2,131.40x = 2,078,668.74
  5. Step 5: Solve for x
    x = 2,078,668.74/2,131.40
  6. Step 6: Final answer
    x = 975.26

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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.