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Finding the Fourth Proportional to 2,182.00, 3,264.91 and 1,304.98

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Solution

The fourth proportional to 2,182.00, 3,264.91 and 1,304.98 is: 1,952.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.00 : 3,264.91 = 1,304.98 : x
  2. Step 2: Convert to fraction form
    2,182.00/3,264.91 = 1,304.98/x
  3. Step 3: Cross multiply
    2,182.00x = 3,264.91 × 1,304.98
  4. Step 4: Simplify right side
    2,182.00x = 4,260,635.73
  5. Step 5: Solve for x
    x = 4,260,635.73/2,182.00
  6. Step 6: Final answer
    x = 1,952.63

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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.