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Finding the Fourth Proportional to 2,959.74, 4,084.63 and 1,633.46

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Solution

The fourth proportional to 2,959.74, 4,084.63 and 1,633.46 is: 2,254.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.74 : 4,084.63 = 1,633.46 : x
  2. Step 2: Convert to fraction form
    2,959.74/4,084.63 = 1,633.46/x
  3. Step 3: Cross multiply
    2,959.74x = 4,084.63 × 1,633.46
  4. Step 4: Simplify right side
    2,959.74x = 6,672,055.21
  5. Step 5: Solve for x
    x = 6,672,055.21/2,959.74
  6. Step 6: Final answer
    x = 2,254.27

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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.