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Finding the Fourth Proportional to 2,959.56, 4,084.16 and 1,633.23

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Solution

The fourth proportional to 2,959.56, 4,084.16 and 1,633.23 is: 2,253.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.56 : 4,084.16 = 1,633.23 : x
  2. Step 2: Convert to fraction form
    2,959.56/4,084.16 = 1,633.23/x
  3. Step 3: Cross multiply
    2,959.56x = 4,084.16 × 1,633.23
  4. Step 4: Simplify right side
    2,959.56x = 6,670,364.47
  5. Step 5: Solve for x
    x = 6,670,364.47/2,959.56
  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.