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Finding the Fourth Proportional to 2,820.71, 4,201.23 and 2,672.48

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Solution

The fourth proportional to 2,820.71, 4,201.23 and 2,672.48 is: 3,980.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.71 : 4,201.23 = 2,672.48 : x
  2. Step 2: Convert to fraction form
    2,820.71/4,201.23 = 2,672.48/x
  3. Step 3: Cross multiply
    2,820.71x = 4,201.23 × 2,672.48
  4. Step 4: Simplify right side
    2,820.71x = 11,227,682.14
  5. Step 5: Solve for x
    x = 11,227,682.14/2,820.71
  6. Step 6: Final answer
    x = 3,980.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.