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Finding the Fourth Proportional to 2,055.15, 3,080.46 and 958.61

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Solution

The fourth proportional to 2,055.15, 3,080.46 and 958.61 is: 1,436.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.15 : 3,080.46 = 958.61 : x
  2. Step 2: Convert to fraction form
    2,055.15/3,080.46 = 958.61/x
  3. Step 3: Cross multiply
    2,055.15x = 3,080.46 × 958.61
  4. Step 4: Simplify right side
    2,055.15x = 2,952,959.76
  5. Step 5: Solve for x
    x = 2,952,959.76/2,055.15
  6. Step 6: Final answer
    x = 1,436.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.