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Finding the Fourth Proportional to 3,048.15, 4,571.75 and 967.88

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Solution

The fourth proportional to 3,048.15, 4,571.75 and 967.88 is: 1,451.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.15 : 4,571.75 = 967.88 : x
  2. Step 2: Convert to fraction form
    3,048.15/4,571.75 = 967.88/x
  3. Step 3: Cross multiply
    3,048.15x = 4,571.75 × 967.88
  4. Step 4: Simplify right side
    3,048.15x = 4,424,905.39
  5. Step 5: Solve for x
    x = 4,424,905.39/3,048.15
  6. Step 6: Final answer
    x = 1,451.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.