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Finding the Fourth Proportional to 1,786.08, 2,680.20 and 691.20

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Solution

The fourth proportional to 1,786.08, 2,680.20 and 691.20 is: 1,037.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.08 : 2,680.20 = 691.20 : x
  2. Step 2: Convert to fraction form
    1,786.08/2,680.20 = 691.20/x
  3. Step 3: Cross multiply
    1,786.08x = 2,680.20 × 691.20
  4. Step 4: Simplify right side
    1,786.08x = 1,852,554.24
  5. Step 5: Solve for x
    x = 1,852,554.24/1,786.08
  6. Step 6: Final answer
    x = 1,037.22

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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.