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Finding the Fourth Proportional to 2,837.80, 4,257.24 and 890.02

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Solution

The fourth proportional to 2,837.80, 4,257.24 and 890.02 is: 1,335.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837.80 : 4,257.24 = 890.02 : x
  2. Step 2: Convert to fraction form
    2,837.80/4,257.24 = 890.02/x
  3. Step 3: Cross multiply
    2,837.80x = 4,257.24 × 890.02
  4. Step 4: Simplify right side
    2,837.80x = 3,789,028.74
  5. Step 5: Solve for x
    x = 3,789,028.74/2,837.80
  6. Step 6: Final answer
    x = 1,335.20

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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.