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Finding the Fourth Proportional to 2,641.41, 3,645.09 and 1,462.47

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Solution

The fourth proportional to 2,641.41, 3,645.09 and 1,462.47 is: 2,018.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.41 : 3,645.09 = 1,462.47 : x
  2. Step 2: Convert to fraction form
    2,641.41/3,645.09 = 1,462.47/x
  3. Step 3: Cross multiply
    2,641.41x = 3,645.09 × 1,462.47
  4. Step 4: Simplify right side
    2,641.41x = 5,330,834.77
  5. Step 5: Solve for x
    x = 5,330,834.77/2,641.41
  6. Step 6: Final answer
    x = 2,018.18

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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.