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Finding the Fourth Proportional to 1,957.76, 2,936.37 and 659.06

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Solution

The fourth proportional to 1,957.76, 2,936.37 and 659.06 is: 988.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.76 : 2,936.37 = 659.06 : x
  2. Step 2: Convert to fraction form
    1,957.76/2,936.37 = 659.06/x
  3. Step 3: Cross multiply
    1,957.76x = 2,936.37 × 659.06
  4. Step 4: Simplify right side
    1,957.76x = 1,935,244.01
  5. Step 5: Solve for x
    x = 1,935,244.01/1,957.76
  6. Step 6: Final answer
    x = 988.50

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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.