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Finding the Fourth Proportional to 2,323.14, 3,202.20 and 1,576.86

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Solution

The fourth proportional to 2,323.14, 3,202.20 and 1,576.86 is: 2,173.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.14 : 3,202.20 = 1,576.86 : x
  2. Step 2: Convert to fraction form
    2,323.14/3,202.20 = 1,576.86/x
  3. Step 3: Cross multiply
    2,323.14x = 3,202.20 × 1,576.86
  4. Step 4: Simplify right side
    2,323.14x = 5,049,421.09
  5. Step 5: Solve for x
    x = 5,049,421.09/2,323.14
  6. Step 6: Final answer
    x = 2,173.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.