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Finding the Fourth Proportional to 1,694.33, 2,541.92 and 706.82

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Solution

The fourth proportional to 1,694.33, 2,541.92 and 706.82 is: 1,060.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.33 : 2,541.92 = 706.82 : x
  2. Step 2: Convert to fraction form
    1,694.33/2,541.92 = 706.82/x
  3. Step 3: Cross multiply
    1,694.33x = 2,541.92 × 706.82
  4. Step 4: Simplify right side
    1,694.33x = 1,796,663.65
  5. Step 5: Solve for x
    x = 1,796,663.65/1,694.33
  6. Step 6: Final answer
    x = 1,060.40

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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.