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Finding the Fourth Proportional to 2,800.72, 4,201.14 and 2,224

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Solution

The fourth proportional to 2,800.72, 4,201.14 and 2,224 is: 3,336.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.72 : 4,201.14 = 2,224 : x
  2. Step 2: Convert to fraction form
    2,800.72/4,201.14 = 2,224/x
  3. Step 3: Cross multiply
    2,800.72x = 4,201.14 × 2,224
  4. Step 4: Simplify right side
    2,800.72x = 9,343,335.36
  5. Step 5: Solve for x
    x = 9,343,335.36/2,800.72
  6. Step 6: Final answer
    x = 3,336.05

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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.