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Finding the Fourth Proportional to 1,957.65, 2,932.73 and 1,694.91

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Solution

The fourth proportional to 1,957.65, 2,932.73 and 1,694.91 is: 2,539.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.65 : 2,932.73 = 1,694.91 : x
  2. Step 2: Convert to fraction form
    1,957.65/2,932.73 = 1,694.91/x
  3. Step 3: Cross multiply
    1,957.65x = 2,932.73 × 1,694.91
  4. Step 4: Simplify right side
    1,957.65x = 4,970,704.93
  5. Step 5: Solve for x
    x = 4,970,704.93/1,957.65
  6. Step 6: Final answer
    x = 2,539.12

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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.