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Finding the Fourth Proportional to 2,701.81, 4,052.35 and 754.21

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Solution

The fourth proportional to 2,701.81, 4,052.35 and 754.21 is: 1,131.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.81 : 4,052.35 = 754.21 : x
  2. Step 2: Convert to fraction form
    2,701.81/4,052.35 = 754.21/x
  3. Step 3: Cross multiply
    2,701.81x = 4,052.35 × 754.21
  4. Step 4: Simplify right side
    2,701.81x = 3,056,322.89
  5. Step 5: Solve for x
    x = 3,056,322.89/2,701.81
  6. Step 6: Final answer
    x = 1,131.21

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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.