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Finding the Fourth Proportional to 2,278.25, 3,417.07 and 890.62

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Solution

The fourth proportional to 2,278.25, 3,417.07 and 890.62 is: 1,335.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.25 : 3,417.07 = 890.62 : x
  2. Step 2: Convert to fraction form
    2,278.25/3,417.07 = 890.62/x
  3. Step 3: Cross multiply
    2,278.25x = 3,417.07 × 890.62
  4. Step 4: Simplify right side
    2,278.25x = 3,043,310.88
  5. Step 5: Solve for x
    x = 3,043,310.88/2,278.25
  6. Step 6: Final answer
    x = 1,335.81

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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.