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Finding the Fourth Proportional to 2,152.79, 3,231.36 and 1,449.91

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Solution

The fourth proportional to 2,152.79, 3,231.36 and 1,449.91 is: 2,176.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.79 : 3,231.36 = 1,449.91 : x
  2. Step 2: Convert to fraction form
    2,152.79/3,231.36 = 1,449.91/x
  3. Step 3: Cross multiply
    2,152.79x = 3,231.36 × 1,449.91
  4. Step 4: Simplify right side
    2,152.79x = 4,685,185.22
  5. Step 5: Solve for x
    x = 4,685,185.22/2,152.79
  6. Step 6: Final answer
    x = 2,176.33

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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.