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Finding the Fourth Proportional to 2,056.62, 3,080.88 and 959.61

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Solution

The fourth proportional to 2,056.62, 3,080.88 and 959.61 is: 1,437.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.62 : 3,080.88 = 959.61 : x
  2. Step 2: Convert to fraction form
    2,056.62/3,080.88 = 959.61/x
  3. Step 3: Cross multiply
    2,056.62x = 3,080.88 × 959.61
  4. Step 4: Simplify right side
    2,056.62x = 2,956,443.26
  5. Step 5: Solve for x
    x = 2,956,443.26/2,056.62
  6. Step 6: Final answer
    x = 1,437.53

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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.