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Finding the Fourth Proportional to 2,641.96, 3,645.92 and 1,463.08

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Solution

The fourth proportional to 2,641.96, 3,645.92 and 1,463.08 is: 2,019.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.96 : 3,645.92 = 1,463.08 : x
  2. Step 2: Convert to fraction form
    2,641.96/3,645.92 = 1,463.08/x
  3. Step 3: Cross multiply
    2,641.96x = 3,645.92 × 1,463.08
  4. Step 4: Simplify right side
    2,641.96x = 5,334,272.63
  5. Step 5: Solve for x
    x = 5,334,272.63/2,641.96
  6. Step 6: Final answer
    x = 2,019.06

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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.