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Finding the Fourth Proportional to 2,005.16, 3,007.74 and 1,316.19

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Solution

The fourth proportional to 2,005.16, 3,007.74 and 1,316.19 is: 1,974.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.16 : 3,007.74 = 1,316.19 : x
  2. Step 2: Convert to fraction form
    2,005.16/3,007.74 = 1,316.19/x
  3. Step 3: Cross multiply
    2,005.16x = 3,007.74 × 1,316.19
  4. Step 4: Simplify right side
    2,005.16x = 3,958,757.31
  5. Step 5: Solve for x
    x = 3,958,757.31/2,005.16
  6. Step 6: Final answer
    x = 1,974.29

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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.