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Finding the Fourth Proportional to 2,203.80, 3,042.48 and 1,647.32

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Solution

The fourth proportional to 2,203.80, 3,042.48 and 1,647.32 is: 2,274.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.80 : 3,042.48 = 1,647.32 : x
  2. Step 2: Convert to fraction form
    2,203.80/3,042.48 = 1,647.32/x
  3. Step 3: Cross multiply
    2,203.80x = 3,042.48 × 1,647.32
  4. Step 4: Simplify right side
    2,203.80x = 5,011,938.15
  5. Step 5: Solve for x
    x = 5,011,938.15/2,203.80
  6. Step 6: Final answer
    x = 2,274.23

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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.