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Finding the Fourth Proportional to 2,959.64, 4,084.24 and 1,615.26

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Solution

The fourth proportional to 2,959.64, 4,084.24 and 1,615.26 is: 2,229.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.64 : 4,084.24 = 1,615.26 : x
  2. Step 2: Convert to fraction form
    2,959.64/4,084.24 = 1,615.26/x
  3. Step 3: Cross multiply
    2,959.64x = 4,084.24 × 1,615.26
  4. Step 4: Simplify right side
    2,959.64x = 6,597,109.50
  5. Step 5: Solve for x
    x = 6,597,109.50/2,959.64
  6. Step 6: Final answer
    x = 2,229.02

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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.