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Finding the Fourth Proportional to 2,956.78, 4,080.57 and 1,698.20

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Solution

The fourth proportional to 2,956.78, 4,080.57 and 1,698.20 is: 2,343.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.78 : 4,080.57 = 1,698.20 : x
  2. Step 2: Convert to fraction form
    2,956.78/4,080.57 = 1,698.20/x
  3. Step 3: Cross multiply
    2,956.78x = 4,080.57 × 1,698.20
  4. Step 4: Simplify right side
    2,956.78x = 6,929,615.48
  5. Step 5: Solve for x
    x = 6,929,615.48/2,956.78
  6. Step 6: Final answer
    x = 2,343.64

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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.