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Finding the Fourth Proportional to 2,443.42, 3,661.02 and 1,575.91

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Solution

The fourth proportional to 2,443.42, 3,661.02 and 1,575.91 is: 2,361.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.42 : 3,661.02 = 1,575.91 : x
  2. Step 2: Convert to fraction form
    2,443.42/3,661.02 = 1,575.91/x
  3. Step 3: Cross multiply
    2,443.42x = 3,661.02 × 1,575.91
  4. Step 4: Simplify right side
    2,443.42x = 5,769,438.03
  5. Step 5: Solve for x
    x = 5,769,438.03/2,443.42
  6. Step 6: Final answer
    x = 2,361.21

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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.