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Finding the Fourth Proportional to 2,358.48, 3,537.26 and 2,241.40

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Solution

The fourth proportional to 2,358.48, 3,537.26 and 2,241.40 is: 3,361.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.48 : 3,537.26 = 2,241.40 : x
  2. Step 2: Convert to fraction form
    2,358.48/3,537.26 = 2,241.40/x
  3. Step 3: Cross multiply
    2,358.48x = 3,537.26 × 2,241.40
  4. Step 4: Simplify right side
    2,358.48x = 7,928,414.56
  5. Step 5: Solve for x
    x = 7,928,414.56/2,358.48
  6. Step 6: Final answer
    x = 3,361.66

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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.