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Finding the Fourth Proportional to 2,698.64, 3,724 and 1,519.68

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Solution

The fourth proportional to 2,698.64, 3,724 and 1,519.68 is: 2,097.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.64 : 3,724 = 1,519.68 : x
  2. Step 2: Convert to fraction form
    2,698.64/3,724 = 1,519.68/x
  3. Step 3: Cross multiply
    2,698.64x = 3,724 × 1,519.68
  4. Step 4: Simplify right side
    2,698.64x = 5,659,288.32
  5. Step 5: Solve for x
    x = 5,659,288.32/2,698.64
  6. Step 6: Final answer
    x = 2,097.09

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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.