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Finding the Fourth Proportional to 2,698.56, 3,723.30 and 1,519.47

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Solution

The fourth proportional to 2,698.56, 3,723.30 and 1,519.47 is: 2,096.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.56 : 3,723.30 = 1,519.47 : x
  2. Step 2: Convert to fraction form
    2,698.56/3,723.30 = 1,519.47/x
  3. Step 3: Cross multiply
    2,698.56x = 3,723.30 × 1,519.47
  4. Step 4: Simplify right side
    2,698.56x = 5,657,442.65
  5. Step 5: Solve for x
    x = 5,657,442.65/2,698.56
  6. Step 6: Final answer
    x = 2,096.47

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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.