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Finding the Fourth Proportional to 2,997.42, 4,493.23 and 1,147.11

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Solution

The fourth proportional to 2,997.42, 4,493.23 and 1,147.11 is: 1,719.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.42 : 4,493.23 = 1,147.11 : x
  2. Step 2: Convert to fraction form
    2,997.42/4,493.23 = 1,147.11/x
  3. Step 3: Cross multiply
    2,997.42x = 4,493.23 × 1,147.11
  4. Step 4: Simplify right side
    2,997.42x = 5,154,226.20
  5. Step 5: Solve for x
    x = 5,154,226.20/2,997.42
  6. Step 6: Final answer
    x = 1,719.55

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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.