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Finding the Fourth Proportional to 1,748.26, 2,619.64 and 823.60

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Solution

The fourth proportional to 1,748.26, 2,619.64 and 823.60 is: 1,234.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.26 : 2,619.64 = 823.60 : x
  2. Step 2: Convert to fraction form
    1,748.26/2,619.64 = 823.60/x
  3. Step 3: Cross multiply
    1,748.26x = 2,619.64 × 823.60
  4. Step 4: Simplify right side
    1,748.26x = 2,157,535.50
  5. Step 5: Solve for x
    x = 2,157,535.50/1,748.26
  6. Step 6: Final answer
    x = 1,234.10

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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.