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Finding the Fourth Proportional to 2,048.69, 3,072.39 and 661.69

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Solution

The fourth proportional to 2,048.69, 3,072.39 and 661.69 is: 992.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.69 : 3,072.39 = 661.69 : x
  2. Step 2: Convert to fraction form
    2,048.69/3,072.39 = 661.69/x
  3. Step 3: Cross multiply
    2,048.69x = 3,072.39 × 661.69
  4. Step 4: Simplify right side
    2,048.69x = 2,032,984.39
  5. Step 5: Solve for x
    x = 2,032,984.39/2,048.69
  6. Step 6: Final answer
    x = 992.33

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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.