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Finding the Fourth Proportional to 2,326.85, 3,485.55 and 1,446.65

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Solution

The fourth proportional to 2,326.85, 3,485.55 and 1,446.65 is: 2,167.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.85 : 3,485.55 = 1,446.65 : x
  2. Step 2: Convert to fraction form
    2,326.85/3,485.55 = 1,446.65/x
  3. Step 3: Cross multiply
    2,326.85x = 3,485.55 × 1,446.65
  4. Step 4: Simplify right side
    2,326.85x = 5,042,370.91
  5. Step 5: Solve for x
    x = 5,042,370.91/2,326.85
  6. Step 6: Final answer
    x = 2,167.04

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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.