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Finding the Fourth Proportional to 2,394.84, 3,304.62 and 1,463.16

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Solution

The fourth proportional to 2,394.84, 3,304.62 and 1,463.16 is: 2,019.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.84 : 3,304.62 = 1,463.16 : x
  2. Step 2: Convert to fraction form
    2,394.84/3,304.62 = 1,463.16/x
  3. Step 3: Cross multiply
    2,394.84x = 3,304.62 × 1,463.16
  4. Step 4: Simplify right side
    2,394.84x = 4,835,187.80
  5. Step 5: Solve for x
    x = 4,835,187.80/2,394.84
  6. Step 6: Final answer
    x = 2,019.00

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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.