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Finding the Fourth Proportional to 2,959.41, 4,084.01 and 1,633.21

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Solution

The fourth proportional to 2,959.41, 4,084.01 and 1,633.21 is: 2,253.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.41 : 4,084.01 = 1,633.21 : x
  2. Step 2: Convert to fraction form
    2,959.41/4,084.01 = 1,633.21/x
  3. Step 3: Cross multiply
    2,959.41x = 4,084.01 × 1,633.21
  4. Step 4: Simplify right side
    2,959.41x = 6,670,037.81
  5. Step 5: Solve for x
    x = 6,670,037.81/2,959.41
  6. Step 6: Final answer
    x = 2,253.84

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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.