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Finding the Fourth Proportional to 1,786.08, 2,678.72 and 487.65

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Solution

The fourth proportional to 1,786.08, 2,678.72 and 487.65 is: 731.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.08 : 2,678.72 = 487.65 : x
  2. Step 2: Convert to fraction form
    1,786.08/2,678.72 = 487.65/x
  3. Step 3: Cross multiply
    1,786.08x = 2,678.72 × 487.65
  4. Step 4: Simplify right side
    1,786.08x = 1,306,275.37
  5. Step 5: Solve for x
    x = 1,306,275.37/1,786.08
  6. Step 6: Final answer
    x = 731.36

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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.