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Finding the Fourth Proportional to 2,864.31, 4,296.57 and 890.45

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Solution

The fourth proportional to 2,864.31, 4,296.57 and 890.45 is: 1,335.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.31 : 4,296.57 = 890.45 : x
  2. Step 2: Convert to fraction form
    2,864.31/4,296.57 = 890.45/x
  3. Step 3: Cross multiply
    2,864.31x = 4,296.57 × 890.45
  4. Step 4: Simplify right side
    2,864.31x = 3,825,880.76
  5. Step 5: Solve for x
    x = 3,825,880.76/2,864.31
  6. Step 6: Final answer
    x = 1,335.71

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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.