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Finding the Fourth Proportional to 1,748.69, 2,610.21 and 1,519.19

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Solution

The fourth proportional to 1,748.69, 2,610.21 and 1,519.19 is: 2,267.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.69 : 2,610.21 = 1,519.19 : x
  2. Step 2: Convert to fraction form
    1,748.69/2,610.21 = 1,519.19/x
  3. Step 3: Cross multiply
    1,748.69x = 2,610.21 × 1,519.19
  4. Step 4: Simplify right side
    1,748.69x = 3,965,391.88
  5. Step 5: Solve for x
    x = 3,965,391.88/1,748.69
  6. Step 6: Final answer
    x = 2,267.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.