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Finding the Fourth Proportional to 1,786.14, 2,680.07 and 690.21

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Solution

The fourth proportional to 1,786.14, 2,680.07 and 690.21 is: 1,035.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.14 : 2,680.07 = 690.21 : x
  2. Step 2: Convert to fraction form
    1,786.14/2,680.07 = 690.21/x
  3. Step 3: Cross multiply
    1,786.14x = 2,680.07 × 690.21
  4. Step 4: Simplify right side
    1,786.14x = 1,849,807.66
  5. Step 5: Solve for x
    x = 1,849,807.66/1,786.14
  6. Step 6: Final answer
    x = 1,035.65

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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.