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Finding the Fourth Proportional to 1,959.24, 2,936.78 and 918.36

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Solution

The fourth proportional to 1,959.24, 2,936.78 and 918.36 is: 1,376.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.24 : 2,936.78 = 918.36 : x
  2. Step 2: Convert to fraction form
    1,959.24/2,936.78 = 918.36/x
  3. Step 3: Cross multiply
    1,959.24x = 2,936.78 × 918.36
  4. Step 4: Simplify right side
    1,959.24x = 2,697,016.69
  5. Step 5: Solve for x
    x = 2,697,016.69/1,959.24
  6. Step 6: Final answer
    x = 1,376.57

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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.