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Finding the Fourth Proportional to 1,935.91, 2,902.40 and 962.70

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Solution

The fourth proportional to 1,935.91, 2,902.40 and 962.70 is: 1,443.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.91 : 2,902.40 = 962.70 : x
  2. Step 2: Convert to fraction form
    1,935.91/2,902.40 = 962.70/x
  3. Step 3: Cross multiply
    1,935.91x = 2,902.40 × 962.70
  4. Step 4: Simplify right side
    1,935.91x = 2,794,128.39
  5. Step 5: Solve for x
    x = 2,794,128.39/1,935.91
  6. Step 6: Final answer
    x = 1,443.31

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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.