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Finding the Fourth Proportional to 2,632.86, 3,949.59 and 967.10

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Solution

The fourth proportional to 2,632.86, 3,949.59 and 967.10 is: 1,450.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.86 : 3,949.59 = 967.10 : x
  2. Step 2: Convert to fraction form
    2,632.86/3,949.59 = 967.10/x
  3. Step 3: Cross multiply
    2,632.86x = 3,949.59 × 967.10
  4. Step 4: Simplify right side
    2,632.86x = 3,819,628.74
  5. Step 5: Solve for x
    x = 3,819,628.74/2,632.86
  6. Step 6: Final answer
    x = 1,450.75

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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.