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Finding the Fourth Proportional to 1,786.46, 2,680.08 and 553.85

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Solution

The fourth proportional to 1,786.46, 2,680.08 and 553.85 is: 830.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.46 : 2,680.08 = 553.85 : x
  2. Step 2: Convert to fraction form
    1,786.46/2,680.08 = 553.85/x
  3. Step 3: Cross multiply
    1,786.46x = 2,680.08 × 553.85
  4. Step 4: Simplify right side
    1,786.46x = 1,484,346.14
  5. Step 5: Solve for x
    x = 1,484,346.14/1,786.46
  6. Step 6: Final answer
    x = 830.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.