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Finding the Fourth Proportional to 3,204.50, 4,807.56 and 896

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Solution

The fourth proportional to 3,204.50, 4,807.56 and 896 is: 1,344.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.50 : 4,807.56 = 896 : x
  2. Step 2: Convert to fraction form
    3,204.50/4,807.56 = 896/x
  3. Step 3: Cross multiply
    3,204.50x = 4,807.56 × 896
  4. Step 4: Simplify right side
    3,204.50x = 4,307,573.76
  5. Step 5: Solve for x
    x = 4,307,573.76/3,204.50
  6. Step 6: Final answer
    x = 1,344.23

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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.