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Finding the Fourth Proportional to 2,300.44, 3,452.10 and 2,152.84

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Solution

The fourth proportional to 2,300.44, 3,452.10 and 2,152.84 is: 3,230.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.44 : 3,452.10 = 2,152.84 : x
  2. Step 2: Convert to fraction form
    2,300.44/3,452.10 = 2,152.84/x
  3. Step 3: Cross multiply
    2,300.44x = 3,452.10 × 2,152.84
  4. Step 4: Simplify right side
    2,300.44x = 7,431,818.96
  5. Step 5: Solve for x
    x = 7,431,818.96/2,300.44
  6. Step 6: Final answer
    x = 3,230.61

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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.