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Finding the Fourth Proportional to 2,579.82, 3,563.10 and 1,699.56

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Solution

The fourth proportional to 2,579.82, 3,563.10 and 1,699.56 is: 2,347.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579.82 : 3,563.10 = 1,699.56 : x
  2. Step 2: Convert to fraction form
    2,579.82/3,563.10 = 1,699.56/x
  3. Step 3: Cross multiply
    2,579.82x = 3,563.10 × 1,699.56
  4. Step 4: Simplify right side
    2,579.82x = 6,055,702.24
  5. Step 5: Solve for x
    x = 6,055,702.24/2,579.82
  6. Step 6: Final answer
    x = 2,347.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.