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Finding the Fourth Proportional to 2,844.64, 4,266.96 and 995.32

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Solution

The fourth proportional to 2,844.64, 4,266.96 and 995.32 is: 1,492.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.64 : 4,266.96 = 995.32 : x
  2. Step 2: Convert to fraction form
    2,844.64/4,266.96 = 995.32/x
  3. Step 3: Cross multiply
    2,844.64x = 4,266.96 × 995.32
  4. Step 4: Simplify right side
    2,844.64x = 4,246,986.95
  5. Step 5: Solve for x
    x = 4,246,986.95/2,844.64
  6. Step 6: Final answer
    x = 1,492.98

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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.