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Finding the Fourth Proportional to 2,956.60, 4,080.05 and 1,697.66

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Solution

The fourth proportional to 2,956.60, 4,080.05 and 1,697.66 is: 2,342.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.60 : 4,080.05 = 1,697.66 : x
  2. Step 2: Convert to fraction form
    2,956.60/4,080.05 = 1,697.66/x
  3. Step 3: Cross multiply
    2,956.60x = 4,080.05 × 1,697.66
  4. Step 4: Simplify right side
    2,956.60x = 6,926,517.28
  5. Step 5: Solve for x
    x = 6,926,517.28/2,956.60
  6. Step 6: Final answer
    x = 2,342.73

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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.