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Finding the Fourth Proportional to 2,394.88, 3,305.56 and 1,464.16

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Solution

The fourth proportional to 2,394.88, 3,305.56 and 1,464.16 is: 2,020.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.88 : 3,305.56 = 1,464.16 : x
  2. Step 2: Convert to fraction form
    2,394.88/3,305.56 = 1,464.16/x
  3. Step 3: Cross multiply
    2,394.88x = 3,305.56 × 1,464.16
  4. Step 4: Simplify right side
    2,394.88x = 4,839,868.73
  5. Step 5: Solve for x
    x = 4,839,868.73/2,394.88
  6. Step 6: Final answer
    x = 2,020.92

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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.