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Finding the Fourth Proportional to 2,580.29, 3,563.72 and 1,739.54

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Solution

The fourth proportional to 2,580.29, 3,563.72 and 1,739.54 is: 2,402.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.29 : 3,563.72 = 1,739.54 : x
  2. Step 2: Convert to fraction form
    2,580.29/3,563.72 = 1,739.54/x
  3. Step 3: Cross multiply
    2,580.29x = 3,563.72 × 1,739.54
  4. Step 4: Simplify right side
    2,580.29x = 6,199,250.01
  5. Step 5: Solve for x
    x = 6,199,250.01/2,580.29
  6. Step 6: Final answer
    x = 2,402.54

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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.