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Finding the Fourth Proportional to 2,394.63, 3,304.44 and 1,463.13

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Solution

The fourth proportional to 2,394.63, 3,304.44 and 1,463.13 is: 2,019.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.63 : 3,304.44 = 1,463.13 : x
  2. Step 2: Convert to fraction form
    2,394.63/3,304.44 = 1,463.13/x
  3. Step 3: Cross multiply
    2,394.63x = 3,304.44 × 1,463.13
  4. Step 4: Simplify right side
    2,394.63x = 4,834,825.30
  5. Step 5: Solve for x
    x = 4,834,825.30/2,394.63
  6. Step 6: Final answer
    x = 2,019.03

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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.