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Finding the Fourth Proportional to 2,441.72, 3,665.62 and 2,035.82

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Solution

The fourth proportional to 2,441.72, 3,665.62 and 2,035.82 is: 3,056.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.72 : 3,665.62 = 2,035.82 : x
  2. Step 2: Convert to fraction form
    2,441.72/3,665.62 = 2,035.82/x
  3. Step 3: Cross multiply
    2,441.72x = 3,665.62 × 2,035.82
  4. Step 4: Simplify right side
    2,441.72x = 7,462,542.51
  5. Step 5: Solve for x
    x = 7,462,542.51/2,441.72
  6. Step 6: Final answer
    x = 3,056.26

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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.