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Finding the Fourth Proportional to 3,048.46, 4,571.05 and 967.90

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Solution

The fourth proportional to 3,048.46, 4,571.05 and 967.90 is: 1,451.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.46 : 4,571.05 = 967.90 : x
  2. Step 2: Convert to fraction form
    3,048.46/4,571.05 = 967.90/x
  3. Step 3: Cross multiply
    3,048.46x = 4,571.05 × 967.90
  4. Step 4: Simplify right side
    3,048.46x = 4,424,319.30
  5. Step 5: Solve for x
    x = 4,424,319.30/3,048.46
  6. Step 6: Final answer
    x = 1,451.33

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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.