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Finding the Fourth Proportional to 2,992.85, 4,487.01 and 2,065.76

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Solution

The fourth proportional to 2,992.85, 4,487.01 and 2,065.76 is: 3,097.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.85 : 4,487.01 = 2,065.76 : x
  2. Step 2: Convert to fraction form
    2,992.85/4,487.01 = 2,065.76/x
  3. Step 3: Cross multiply
    2,992.85x = 4,487.01 × 2,065.76
  4. Step 4: Simplify right side
    2,992.85x = 9,269,063.34
  5. Step 5: Solve for x
    x = 9,269,063.34/2,992.85
  6. Step 6: Final answer
    x = 3,097.07

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