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Finding the Fourth Proportional to 2,282.02, 3,423.02 and 896.00

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Solution

The fourth proportional to 2,282.02, 3,423.02 and 896.00 is: 1,344.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.02 : 3,423.02 = 896.00 : x
  2. Step 2: Convert to fraction form
    2,282.02/3,423.02 = 896.00/x
  3. Step 3: Cross multiply
    2,282.02x = 3,423.02 × 896.00
  4. Step 4: Simplify right side
    2,282.02x = 3,067,036.72
  5. Step 5: Solve for x
    x = 3,067,036.72/2,282.02
  6. Step 6: Final answer
    x = 1,344.00

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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.