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Finding the Fourth Proportional to 1,957.14, 2,935.83 and 640.98

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Solution

The fourth proportional to 1,957.14, 2,935.83 and 640.98 is: 961.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.14 : 2,935.83 = 640.98 : x
  2. Step 2: Convert to fraction form
    1,957.14/2,935.83 = 640.98/x
  3. Step 3: Cross multiply
    1,957.14x = 2,935.83 × 640.98
  4. Step 4: Simplify right side
    1,957.14x = 1,881,808.31
  5. Step 5: Solve for x
    x = 1,881,808.31/1,957.14
  6. Step 6: Final answer
    x = 961.51

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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.