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Finding the Fourth Proportional to 1,744.08, 2,617.62 and 1,012.62

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Solution

The fourth proportional to 1,744.08, 2,617.62 and 1,012.62 is: 1,519.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.08 : 2,617.62 = 1,012.62 : x
  2. Step 2: Convert to fraction form
    1,744.08/2,617.62 = 1,012.62/x
  3. Step 3: Cross multiply
    1,744.08x = 2,617.62 × 1,012.62
  4. Step 4: Simplify right side
    1,744.08x = 2,650,654.36
  5. Step 5: Solve for x
    x = 2,650,654.36/1,744.08
  6. Step 6: Final answer
    x = 1,519.80

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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.