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Finding the Fourth Proportional to 2,840.01, 4,259.82 and 1,744.53

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Solution

The fourth proportional to 2,840.01, 4,259.82 and 1,744.53 is: 2,616.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.01 : 4,259.82 = 1,744.53 : x
  2. Step 2: Convert to fraction form
    2,840.01/4,259.82 = 1,744.53/x
  3. Step 3: Cross multiply
    2,840.01x = 4,259.82 × 1,744.53
  4. Step 4: Simplify right side
    2,840.01x = 7,431,383.78
  5. Step 5: Solve for x
    x = 7,431,383.78/2,840.01
  6. Step 6: Final answer
    x = 2,616.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.