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Finding the Fourth Proportional to 2,312.73, 3,469.05 and 581.37

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Solution

The fourth proportional to 2,312.73, 3,469.05 and 581.37 is: 872.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.73 : 3,469.05 = 581.37 : x
  2. Step 2: Convert to fraction form
    2,312.73/3,469.05 = 581.37/x
  3. Step 3: Cross multiply
    2,312.73x = 3,469.05 × 581.37
  4. Step 4: Simplify right side
    2,312.73x = 2,016,801.60
  5. Step 5: Solve for x
    x = 2,016,801.60/2,312.73
  6. Step 6: Final answer
    x = 872.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.