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Finding the Fourth Proportional to 2,864.44, 4,296.46 and 890.02

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Solution

The fourth proportional to 2,864.44, 4,296.46 and 890.02 is: 1,334.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.44 : 4,296.46 = 890.02 : x
  2. Step 2: Convert to fraction form
    2,864.44/4,296.46 = 890.02/x
  3. Step 3: Cross multiply
    2,864.44x = 4,296.46 × 890.02
  4. Step 4: Simplify right side
    2,864.44x = 3,823,909.40
  5. Step 5: Solve for x
    x = 3,823,909.40/2,864.44
  6. Step 6: Final answer
    x = 1,334.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.