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Finding the Fourth Proportional to 2,959.96, 4,440 and 768.56

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Solution

The fourth proportional to 2,959.96, 4,440 and 768.56 is: 1,152.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.96 : 4,440 = 768.56 : x
  2. Step 2: Convert to fraction form
    2,959.96/4,440 = 768.56/x
  3. Step 3: Cross multiply
    2,959.96x = 4,440 × 768.56
  4. Step 4: Simplify right side
    2,959.96x = 3,412,406.40
  5. Step 5: Solve for x
    x = 3,412,406.40/2,959.96
  6. Step 6: Final answer
    x = 1,152.86

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