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Finding the Fourth Proportional to 1,957.40, 2,935.49 and 658.56

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Solution

The fourth proportional to 1,957.40, 2,935.49 and 658.56 is: 987.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.40 : 2,935.49 = 658.56 : x
  2. Step 2: Convert to fraction form
    1,957.40/2,935.49 = 658.56/x
  3. Step 3: Cross multiply
    1,957.40x = 2,935.49 × 658.56
  4. Step 4: Simplify right side
    1,957.40x = 1,933,196.29
  5. Step 5: Solve for x
    x = 1,933,196.29/1,957.40
  6. Step 6: Final answer
    x = 987.63

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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.