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Finding the Fourth Proportional to 2,698.30, 3,723.96 and 1,519.48

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Solution

The fourth proportional to 2,698.30, 3,723.96 and 1,519.48 is: 2,097.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.30 : 3,723.96 = 1,519.48 : x
  2. Step 2: Convert to fraction form
    2,698.30/3,723.96 = 1,519.48/x
  3. Step 3: Cross multiply
    2,698.30x = 3,723.96 × 1,519.48
  4. Step 4: Simplify right side
    2,698.30x = 5,658,482.74
  5. Step 5: Solve for x
    x = 5,658,482.74/2,698.30
  6. Step 6: Final answer
    x = 2,097.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.