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Finding the Fourth Proportional to 2,642.98, 3,647.16 and 1,463.98

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Solution

The fourth proportional to 2,642.98, 3,647.16 and 1,463.98 is: 2,020.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.98 : 3,647.16 = 1,463.98 : x
  2. Step 2: Convert to fraction form
    2,642.98/3,647.16 = 1,463.98/x
  3. Step 3: Cross multiply
    2,642.98x = 3,647.16 × 1,463.98
  4. Step 4: Simplify right side
    2,642.98x = 5,339,369.30
  5. Step 5: Solve for x
    x = 5,339,369.30/2,642.98
  6. Step 6: Final answer
    x = 2,020.21

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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.