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Finding the Fourth Proportional to 2,563.54, 3,537.85 and 1,444.37

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Solution

The fourth proportional to 2,563.54, 3,537.85 and 1,444.37 is: 1,993.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.54 : 3,537.85 = 1,444.37 : x
  2. Step 2: Convert to fraction form
    2,563.54/3,537.85 = 1,444.37/x
  3. Step 3: Cross multiply
    2,563.54x = 3,537.85 × 1,444.37
  4. Step 4: Simplify right side
    2,563.54x = 5,109,964.40
  5. Step 5: Solve for x
    x = 5,109,964.40/2,563.54
  6. Step 6: Final answer
    x = 1,993.32

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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.