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Finding the Fourth Proportional to 2,969.89, 4,455.38 and 995.32

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Solution

The fourth proportional to 2,969.89, 4,455.38 and 995.32 is: 1,493.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.89 : 4,455.38 = 995.32 : x
  2. Step 2: Convert to fraction form
    2,969.89/4,455.38 = 995.32/x
  3. Step 3: Cross multiply
    2,969.89x = 4,455.38 × 995.32
  4. Step 4: Simplify right side
    2,969.89x = 4,434,528.82
  5. Step 5: Solve for x
    x = 4,434,528.82/2,969.89
  6. Step 6: Final answer
    x = 1,493.16

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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.