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Finding the Fourth Proportional to 2,641.27, 3,645.02 and 1,462.41

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Solution

The fourth proportional to 2,641.27, 3,645.02 and 1,462.41 is: 2,018.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.27 : 3,645.02 = 1,462.41 : x
  2. Step 2: Convert to fraction form
    2,641.27/3,645.02 = 1,462.41/x
  3. Step 3: Cross multiply
    2,641.27x = 3,645.02 × 1,462.41
  4. Step 4: Simplify right side
    2,641.27x = 5,330,517.35
  5. Step 5: Solve for x
    x = 5,330,517.35/2,641.27
  6. Step 6: Final answer
    x = 2,018.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.