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Finding the Fourth Proportional to 2,827.81, 4,241.07 and 1,073.01

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Solution

The fourth proportional to 2,827.81, 4,241.07 and 1,073.01 is: 1,609.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.81 : 4,241.07 = 1,073.01 : x
  2. Step 2: Convert to fraction form
    2,827.81/4,241.07 = 1,073.01/x
  3. Step 3: Cross multiply
    2,827.81x = 4,241.07 × 1,073.01
  4. Step 4: Simplify right side
    2,827.81x = 4,550,710.04
  5. Step 5: Solve for x
    x = 4,550,710.04/2,827.81
  6. Step 6: Final answer
    x = 1,609.27

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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.