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Finding the Fourth Proportional to 2,072.09, 3,109.14 and 976.52

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Solution

The fourth proportional to 2,072.09, 3,109.14 and 976.52 is: 1,465.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.09 : 3,109.14 = 976.52 : x
  2. Step 2: Convert to fraction form
    2,072.09/3,109.14 = 976.52/x
  3. Step 3: Cross multiply
    2,072.09x = 3,109.14 × 976.52
  4. Step 4: Simplify right side
    2,072.09x = 3,036,137.39
  5. Step 5: Solve for x
    x = 3,036,137.39/2,072.09
  6. Step 6: Final answer
    x = 1,465.25

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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.