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Finding the Fourth Proportional to 1,786.86, 2,680.76 and 690.94

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Solution

The fourth proportional to 1,786.86, 2,680.76 and 690.94 is: 1,036.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.86 : 2,680.76 = 690.94 : x
  2. Step 2: Convert to fraction form
    1,786.86/2,680.76 = 690.94/x
  3. Step 3: Cross multiply
    1,786.86x = 2,680.76 × 690.94
  4. Step 4: Simplify right side
    1,786.86x = 1,852,244.31
  5. Step 5: Solve for x
    x = 1,852,244.31/1,786.86
  6. Step 6: Final answer
    x = 1,036.59

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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.