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Finding the Fourth Proportional to 2,641.98, 3,645.90 and 1,463.04

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Solution

The fourth proportional to 2,641.98, 3,645.90 and 1,463.04 is: 2,018.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.98 : 3,645.90 = 1,463.04 : x
  2. Step 2: Convert to fraction form
    2,641.98/3,645.90 = 1,463.04/x
  3. Step 3: Cross multiply
    2,641.98x = 3,645.90 × 1,463.04
  4. Step 4: Simplify right side
    2,641.98x = 5,334,097.54
  5. Step 5: Solve for x
    x = 5,334,097.54/2,641.98
  6. Step 6: Final answer
    x = 2,018.98

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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.