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Finding the Fourth Proportional to 1,748.01, 2,619.72 and 823.41

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Solution

The fourth proportional to 1,748.01, 2,619.72 and 823.41 is: 1,234.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.01 : 2,619.72 = 823.41 : x
  2. Step 2: Convert to fraction form
    1,748.01/2,619.72 = 823.41/x
  3. Step 3: Cross multiply
    1,748.01x = 2,619.72 × 823.41
  4. Step 4: Simplify right side
    1,748.01x = 2,157,103.65
  5. Step 5: Solve for x
    x = 2,157,103.65/1,748.01
  6. Step 6: Final answer
    x = 1,234.03

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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.