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Finding the Fourth Proportional to 2,958.78, 4,432.41 and 1,311.42

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Solution

The fourth proportional to 2,958.78, 4,432.41 and 1,311.42 is: 1,964.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,958.78 : 4,432.41 = 1,311.42 : x
  2. Step 2: Convert to fraction form
    2,958.78/4,432.41 = 1,311.42/x
  3. Step 3: Cross multiply
    2,958.78x = 4,432.41 × 1,311.42
  4. Step 4: Simplify right side
    2,958.78x = 5,812,751.12
  5. Step 5: Solve for x
    x = 5,812,751.12/2,958.78
  6. Step 6: Final answer
    x = 1,964.58

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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.