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Finding the Fourth Proportional to 1,935.76, 2,905.40 and 963.92

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Solution

The fourth proportional to 1,935.76, 2,905.40 and 963.92 is: 1,446.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.76 : 2,905.40 = 963.92 : x
  2. Step 2: Convert to fraction form
    1,935.76/2,905.40 = 963.92/x
  3. Step 3: Cross multiply
    1,935.76x = 2,905.40 × 963.92
  4. Step 4: Simplify right side
    1,935.76x = 2,800,573.17
  5. Step 5: Solve for x
    x = 2,800,573.17/1,935.76
  6. Step 6: Final answer
    x = 1,446.76

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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.