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Finding the Fourth Proportional to 2,964.27, 4,446.66 and 773.00

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Solution

The fourth proportional to 2,964.27, 4,446.66 and 773.00 is: 1,159.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.27 : 4,446.66 = 773.00 : x
  2. Step 2: Convert to fraction form
    2,964.27/4,446.66 = 773.00/x
  3. Step 3: Cross multiply
    2,964.27x = 4,446.66 × 773.00
  4. Step 4: Simplify right side
    2,964.27x = 3,437,242.08
  5. Step 5: Solve for x
    x = 3,437,242.08/2,964.27
  6. Step 6: Final answer
    x = 1,159.56

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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.