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Finding the Fourth Proportional to 2,489.36, 3,730.56 and 1,448.72

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Solution

The fourth proportional to 2,489.36, 3,730.56 and 1,448.72 is: 2,171.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.36 : 3,730.56 = 1,448.72 : x
  2. Step 2: Convert to fraction form
    2,489.36/3,730.56 = 1,448.72/x
  3. Step 3: Cross multiply
    2,489.36x = 3,730.56 × 1,448.72
  4. Step 4: Simplify right side
    2,489.36x = 5,404,536.88
  5. Step 5: Solve for x
    x = 5,404,536.88/2,489.36
  6. Step 6: Final answer
    x = 2,171.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.