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Finding the Fourth Proportional to 2,105.25, 3,159.11 and 951

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Solution

The fourth proportional to 2,105.25, 3,159.11 and 951 is: 1,427.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.25 : 3,159.11 = 951 : x
  2. Step 2: Convert to fraction form
    2,105.25/3,159.11 = 951/x
  3. Step 3: Cross multiply
    2,105.25x = 3,159.11 × 951
  4. Step 4: Simplify right side
    2,105.25x = 3,004,308.86
  5. Step 5: Solve for x
    x = 3,004,308.86/2,105.25
  6. Step 6: Final answer
    x = 1,427.06

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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.