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Finding the Fourth Proportional to 1,576.06, 2,361.52 and 959.97

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Solution

The fourth proportional to 1,576.06, 2,361.52 and 959.97 is: 1,438.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.06 : 2,361.52 = 959.97 : x
  2. Step 2: Convert to fraction form
    1,576.06/2,361.52 = 959.97/x
  3. Step 3: Cross multiply
    1,576.06x = 2,361.52 × 959.97
  4. Step 4: Simplify right side
    1,576.06x = 2,266,988.35
  5. Step 5: Solve for x
    x = 2,266,988.35/1,576.06
  6. Step 6: Final answer
    x = 1,438.39

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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.