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Finding the Fourth Proportional to 2,574.34, 3,553.96 and 1,983.58

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Solution

The fourth proportional to 2,574.34, 3,553.96 and 1,983.58 is: 2,738.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.34 : 3,553.96 = 1,983.58 : x
  2. Step 2: Convert to fraction form
    2,574.34/3,553.96 = 1,983.58/x
  3. Step 3: Cross multiply
    2,574.34x = 3,553.96 × 1,983.58
  4. Step 4: Simplify right side
    2,574.34x = 7,049,563.98
  5. Step 5: Solve for x
    x = 7,049,563.98/2,574.34
  6. Step 6: Final answer
    x = 2,738.40

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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.