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Finding the Fourth Proportional to 3,222.76, 4,448.01 and 1,896.40

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Solution

The fourth proportional to 3,222.76, 4,448.01 and 1,896.40 is: 2,617.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222.76 : 4,448.01 = 1,896.40 : x
  2. Step 2: Convert to fraction form
    3,222.76/4,448.01 = 1,896.40/x
  3. Step 3: Cross multiply
    3,222.76x = 4,448.01 × 1,896.40
  4. Step 4: Simplify right side
    3,222.76x = 8,435,206.16
  5. Step 5: Solve for x
    x = 8,435,206.16/3,222.76
  6. Step 6: Final answer
    x = 2,617.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.