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Finding the Fourth Proportional to 1,786.26, 2,678.24 and 862.04

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Solution

The fourth proportional to 1,786.26, 2,678.24 and 862.04 is: 1,292.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.26 : 2,678.24 = 862.04 : x
  2. Step 2: Convert to fraction form
    1,786.26/2,678.24 = 862.04/x
  3. Step 3: Cross multiply
    1,786.26x = 2,678.24 × 862.04
  4. Step 4: Simplify right side
    1,786.26x = 2,308,750.01
  5. Step 5: Solve for x
    x = 2,308,750.01/1,786.26
  6. Step 6: Final answer
    x = 1,292.51

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1.5x scale

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.