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Finding the Fourth Proportional to 3,042.51, 4,201.22 and 2,051.07

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Solution

The fourth proportional to 3,042.51, 4,201.22 and 2,051.07 is: 2,832.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.51 : 4,201.22 = 2,051.07 : x
  2. Step 2: Convert to fraction form
    3,042.51/4,201.22 = 2,051.07/x
  3. Step 3: Cross multiply
    3,042.51x = 4,201.22 × 2,051.07
  4. Step 4: Simplify right side
    3,042.51x = 8,616,996.31
  5. Step 5: Solve for x
    x = 8,616,996.31/3,042.51
  6. Step 6: Final answer
    x = 2,832.20

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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.