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Finding the Fourth Proportional to 2,698.72, 3,724.32 and 1,519.88

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Solution

The fourth proportional to 2,698.72, 3,724.32 and 1,519.88 is: 2,097.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.72 : 3,724.32 = 1,519.88 : x
  2. Step 2: Convert to fraction form
    2,698.72/3,724.32 = 1,519.88/x
  3. Step 3: Cross multiply
    2,698.72x = 3,724.32 × 1,519.88
  4. Step 4: Simplify right side
    2,698.72x = 5,660,519.48
  5. Step 5: Solve for x
    x = 5,660,519.48/2,698.72
  6. Step 6: Final answer
    x = 2,097.48

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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.