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Finding the Fourth Proportional to 1,959.88, 2,940.36 and 985.72

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Solution

The fourth proportional to 1,959.88, 2,940.36 and 985.72 is: 1,478.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.88 : 2,940.36 = 985.72 : x
  2. Step 2: Convert to fraction form
    1,959.88/2,940.36 = 985.72/x
  3. Step 3: Cross multiply
    1,959.88x = 2,940.36 × 985.72
  4. Step 4: Simplify right side
    1,959.88x = 2,898,371.66
  5. Step 5: Solve for x
    x = 2,898,371.66/1,959.88
  6. Step 6: Final answer
    x = 1,478.85

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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.