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Finding the Fourth Proportional to 2,848.25, 4,272.43 and 900.44

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Solution

The fourth proportional to 2,848.25, 4,272.43 and 900.44 is: 1,350.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,848.25 : 4,272.43 = 900.44 : x
  2. Step 2: Convert to fraction form
    2,848.25/4,272.43 = 900.44/x
  3. Step 3: Cross multiply
    2,848.25x = 4,272.43 × 900.44
  4. Step 4: Simplify right side
    2,848.25x = 3,847,066.87
  5. Step 5: Solve for x
    x = 3,847,066.87/2,848.25
  6. Step 6: Final answer
    x = 1,350.68

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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.