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Finding the Fourth Proportional to 2,816.00, 4,224.01 and 967.65

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Solution

The fourth proportional to 2,816.00, 4,224.01 and 967.65 is: 1,451.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.00 : 4,224.01 = 967.65 : x
  2. Step 2: Convert to fraction form
    2,816.00/4,224.01 = 967.65/x
  3. Step 3: Cross multiply
    2,816.00x = 4,224.01 × 967.65
  4. Step 4: Simplify right side
    2,816.00x = 4,087,339.74
  5. Step 5: Solve for x
    x = 4,087,339.74/2,816.00
  6. Step 6: Final answer
    x = 1,451.47

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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.