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Finding the Fourth Proportional to 2,155.91, 3,235.26 and 1,182.69

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Solution

The fourth proportional to 2,155.91, 3,235.26 and 1,182.69 is: 1,774.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.91 : 3,235.26 = 1,182.69 : x
  2. Step 2: Convert to fraction form
    2,155.91/3,235.26 = 1,182.69/x
  3. Step 3: Cross multiply
    2,155.91x = 3,235.26 × 1,182.69
  4. Step 4: Simplify right side
    2,155.91x = 3,826,309.65
  5. Step 5: Solve for x
    x = 3,826,309.65/2,155.91
  6. Step 6: Final answer
    x = 1,774.80

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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.