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Finding the Fourth Proportional to 2,276.98, 3,415.66 and 890.21

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Solution

The fourth proportional to 2,276.98, 3,415.66 and 890.21 is: 1,335.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.98 : 3,415.66 = 890.21 : x
  2. Step 2: Convert to fraction form
    2,276.98/3,415.66 = 890.21/x
  3. Step 3: Cross multiply
    2,276.98x = 3,415.66 × 890.21
  4. Step 4: Simplify right side
    2,276.98x = 3,040,661.00
  5. Step 5: Solve for x
    x = 3,040,661.00/2,276.98
  6. Step 6: Final answer
    x = 1,335.39

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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.