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Finding the Fourth Proportional to 2,309.44, 3,464.64 and 770.56

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Solution

The fourth proportional to 2,309.44, 3,464.64 and 770.56 is: 1,156.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.44 : 3,464.64 = 770.56 : x
  2. Step 2: Convert to fraction form
    2,309.44/3,464.64 = 770.56/x
  3. Step 3: Cross multiply
    2,309.44x = 3,464.64 × 770.56
  4. Step 4: Simplify right side
    2,309.44x = 2,669,713.00
  5. Step 5: Solve for x
    x = 2,669,713.00/2,309.44
  6. Step 6: Final answer
    x = 1,156.00

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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.