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Finding the Fourth Proportional to 2,367.90, 3,553.68 and 1,544.16

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Solution

The fourth proportional to 2,367.90, 3,553.68 and 1,544.16 is: 2,317.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.90 : 3,553.68 = 1,544.16 : x
  2. Step 2: Convert to fraction form
    2,367.90/3,553.68 = 1,544.16/x
  3. Step 3: Cross multiply
    2,367.90x = 3,553.68 × 1,544.16
  4. Step 4: Simplify right side
    2,367.90x = 5,487,450.51
  5. Step 5: Solve for x
    x = 5,487,450.51/2,367.90
  6. Step 6: Final answer
    x = 2,317.43

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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.