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Finding the Fourth Proportional to 2,080.74, 2,871.33 and 1,241.01

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Solution

The fourth proportional to 2,080.74, 2,871.33 and 1,241.01 is: 1,712.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.74 : 2,871.33 = 1,241.01 : x
  2. Step 2: Convert to fraction form
    2,080.74/2,871.33 = 1,241.01/x
  3. Step 3: Cross multiply
    2,080.74x = 2,871.33 × 1,241.01
  4. Step 4: Simplify right side
    2,080.74x = 3,563,349.24
  5. Step 5: Solve for x
    x = 3,563,349.24/2,080.74
  6. Step 6: Final answer
    x = 1,712.54

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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.