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Finding the Fourth Proportional to 2,006.02, 2,765.73 and 1,725.67

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Solution

The fourth proportional to 2,006.02, 2,765.73 and 1,725.67 is: 2,379.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.02 : 2,765.73 = 1,725.67 : x
  2. Step 2: Convert to fraction form
    2,006.02/2,765.73 = 1,725.67/x
  3. Step 3: Cross multiply
    2,006.02x = 2,765.73 × 1,725.67
  4. Step 4: Simplify right side
    2,006.02x = 4,772,737.29
  5. Step 5: Solve for x
    x = 4,772,737.29/2,006.02
  6. Step 6: Final answer
    x = 2,379.21

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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.