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Finding the Fourth Proportional to 2,959.69, 4,084.31 and 1,633.40

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Solution

The fourth proportional to 2,959.69, 4,084.31 and 1,633.40 is: 2,254.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.69 : 4,084.31 = 1,633.40 : x
  2. Step 2: Convert to fraction form
    2,959.69/4,084.31 = 1,633.40/x
  3. Step 3: Cross multiply
    2,959.69x = 4,084.31 × 1,633.40
  4. Step 4: Simplify right side
    2,959.69x = 6,671,311.95
  5. Step 5: Solve for x
    x = 6,671,311.95/2,959.69
  6. Step 6: Final answer
    x = 2,254.06

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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.