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Finding the Fourth Proportional to 1,969.03, 2,955.37 and 995.82

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Solution

The fourth proportional to 1,969.03, 2,955.37 and 995.82 is: 1,494.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.03 : 2,955.37 = 995.82 : x
  2. Step 2: Convert to fraction form
    1,969.03/2,955.37 = 995.82/x
  3. Step 3: Cross multiply
    1,969.03x = 2,955.37 × 995.82
  4. Step 4: Simplify right side
    1,969.03x = 2,943,016.55
  5. Step 5: Solve for x
    x = 2,943,016.55/1,969.03
  6. Step 6: Final answer
    x = 1,494.65

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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.