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Finding the Fourth Proportional to 3,005.56, 4,506.18 and 1,361.26

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Solution

The fourth proportional to 3,005.56, 4,506.18 and 1,361.26 is: 2,040.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.56 : 4,506.18 = 1,361.26 : x
  2. Step 2: Convert to fraction form
    3,005.56/4,506.18 = 1,361.26/x
  3. Step 3: Cross multiply
    3,005.56x = 4,506.18 × 1,361.26
  4. Step 4: Simplify right side
    3,005.56x = 6,134,082.59
  5. Step 5: Solve for x
    x = 6,134,082.59/3,005.56
  6. Step 6: Final answer
    x = 2,040.91

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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.