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Finding the Fourth Proportional to 2,633.88, 3,951.46 and 990.47

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Solution

The fourth proportional to 2,633.88, 3,951.46 and 990.47 is: 1,485.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.88 : 3,951.46 = 990.47 : x
  2. Step 2: Convert to fraction form
    2,633.88/3,951.46 = 990.47/x
  3. Step 3: Cross multiply
    2,633.88x = 3,951.46 × 990.47
  4. Step 4: Simplify right side
    2,633.88x = 3,913,814.41
  5. Step 5: Solve for x
    x = 3,913,814.41/2,633.88
  6. Step 6: Final answer
    x = 1,485.95

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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.