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Finding the Fourth Proportional to 4,304.88, 6,456.43 and 1,964.23

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Solution

The fourth proportional to 4,304.88, 6,456.43 and 1,964.23 is: 2,945.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,304.88 : 6,456.43 = 1,964.23 : x
  2. Step 2: Convert to fraction form
    4,304.88/6,456.43 = 1,964.23/x
  3. Step 3: Cross multiply
    4,304.88x = 6,456.43 × 1,964.23
  4. Step 4: Simplify right side
    4,304.88x = 12,681,899.81
  5. Step 5: Solve for x
    x = 12,681,899.81/4,304.88
  6. Step 6: Final answer
    x = 2,945.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.