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Finding the Fourth Proportional to 1,957.09, 2,935.63 and 659.47

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Solution

The fourth proportional to 1,957.09, 2,935.63 and 659.47 is: 989.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.09 : 2,935.63 = 659.47 : x
  2. Step 2: Convert to fraction form
    1,957.09/2,935.63 = 659.47/x
  3. Step 3: Cross multiply
    1,957.09x = 2,935.63 × 659.47
  4. Step 4: Simplify right side
    1,957.09x = 1,935,959.92
  5. Step 5: Solve for x
    x = 1,935,959.92/1,957.09
  6. Step 6: Final answer
    x = 989.20

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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.