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Finding the Fourth Proportional to 2,294.04, 3,441.90 and 995.16

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Solution

The fourth proportional to 2,294.04, 3,441.90 and 995.16 is: 1,493.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.04 : 3,441.90 = 995.16 : x
  2. Step 2: Convert to fraction form
    2,294.04/3,441.90 = 995.16/x
  3. Step 3: Cross multiply
    2,294.04x = 3,441.90 × 995.16
  4. Step 4: Simplify right side
    2,294.04x = 3,425,241.20
  5. Step 5: Solve for x
    x = 3,425,241.20/2,294.04
  6. Step 6: Final answer
    x = 1,493.10

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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.