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Finding the Fourth Proportional to 2,563.83, 3,537.82 and 1,444.59

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Solution

The fourth proportional to 2,563.83, 3,537.82 and 1,444.59 is: 1,993.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.83 : 3,537.82 = 1,444.59 : x
  2. Step 2: Convert to fraction form
    2,563.83/3,537.82 = 1,444.59/x
  3. Step 3: Cross multiply
    2,563.83x = 3,537.82 × 1,444.59
  4. Step 4: Simplify right side
    2,563.83x = 5,110,699.39
  5. Step 5: Solve for x
    x = 5,110,699.39/2,563.83
  6. Step 6: Final answer
    x = 1,993.38

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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.