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Finding the Fourth Proportional to 2,228.71, 3,072.41 and 1,563.50

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Solution

The fourth proportional to 2,228.71, 3,072.41 and 1,563.50 is: 2,155.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.71 : 3,072.41 = 1,563.50 : x
  2. Step 2: Convert to fraction form
    2,228.71/3,072.41 = 1,563.50/x
  3. Step 3: Cross multiply
    2,228.71x = 3,072.41 × 1,563.50
  4. Step 4: Simplify right side
    2,228.71x = 4,803,713.04
  5. Step 5: Solve for x
    x = 4,803,713.04/2,228.71
  6. Step 6: Final answer
    x = 2,155.38

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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.