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Finding the Fourth Proportional to 1,576.81, 2,173.72 and 1,103.23

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Solution

The fourth proportional to 1,576.81, 2,173.72 and 1,103.23 is: 1,520.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.81 : 2,173.72 = 1,103.23 : x
  2. Step 2: Convert to fraction form
    1,576.81/2,173.72 = 1,103.23/x
  3. Step 3: Cross multiply
    1,576.81x = 2,173.72 × 1,103.23
  4. Step 4: Simplify right side
    1,576.81x = 2,398,118.15
  5. Step 5: Solve for x
    x = 2,398,118.15/1,576.81
  6. Step 6: Final answer
    x = 1,520.87

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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.