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Finding the Fourth Proportional to 1,784.20, 2,674.41 and 688.09

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Solution

The fourth proportional to 1,784.20, 2,674.41 and 688.09 is: 1,031.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.20 : 2,674.41 = 688.09 : x
  2. Step 2: Convert to fraction form
    1,784.20/2,674.41 = 688.09/x
  3. Step 3: Cross multiply
    1,784.20x = 2,674.41 × 688.09
  4. Step 4: Simplify right side
    1,784.20x = 1,840,234.78
  5. Step 5: Solve for x
    x = 1,840,234.78/1,784.20
  6. Step 6: Final answer
    x = 1,031.41

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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.