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Finding the Fourth Proportional to 2,195.07, 3,291.49 and 961.93

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Solution

The fourth proportional to 2,195.07, 3,291.49 and 961.93 is: 1,442.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.07 : 3,291.49 = 961.93 : x
  2. Step 2: Convert to fraction form
    2,195.07/3,291.49 = 961.93/x
  3. Step 3: Cross multiply
    2,195.07x = 3,291.49 × 961.93
  4. Step 4: Simplify right side
    2,195.07x = 3,166,182.98
  5. Step 5: Solve for x
    x = 3,166,182.98/2,195.07
  6. Step 6: Final answer
    x = 1,442.41

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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.