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Finding the Fourth Proportional to 2,008.73, 2,769.31 and 1,486.01

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Solution

The fourth proportional to 2,008.73, 2,769.31 and 1,486.01 is: 2,048.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.73 : 2,769.31 = 1,486.01 : x
  2. Step 2: Convert to fraction form
    2,008.73/2,769.31 = 1,486.01/x
  3. Step 3: Cross multiply
    2,008.73x = 2,769.31 × 1,486.01
  4. Step 4: Simplify right side
    2,008.73x = 4,115,222.35
  5. Step 5: Solve for x
    x = 4,115,222.35/2,008.73
  6. Step 6: Final answer
    x = 2,048.67

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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.