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Finding the Fourth Proportional to 1,996.14, 2,996.05 and 1,009.65

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Solution

The fourth proportional to 1,996.14, 2,996.05 and 1,009.65 is: 1,515.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.14 : 2,996.05 = 1,009.65 : x
  2. Step 2: Convert to fraction form
    1,996.14/2,996.05 = 1,009.65/x
  3. Step 3: Cross multiply
    1,996.14x = 2,996.05 × 1,009.65
  4. Step 4: Simplify right side
    1,996.14x = 3,024,941.85
  5. Step 5: Solve for x
    x = 3,024,941.85/1,996.14
  6. Step 6: Final answer
    x = 1,515.40

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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.