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Finding the Fourth Proportional to 1,956.26, 2,698.80 and 1,170.14

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Solution

The fourth proportional to 1,956.26, 2,698.80 and 1,170.14 is: 1,614.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.26 : 2,698.80 = 1,170.14 : x
  2. Step 2: Convert to fraction form
    1,956.26/2,698.80 = 1,170.14/x
  3. Step 3: Cross multiply
    1,956.26x = 2,698.80 × 1,170.14
  4. Step 4: Simplify right side
    1,956.26x = 3,157,973.83
  5. Step 5: Solve for x
    x = 3,157,973.83/1,956.26
  6. Step 6: Final answer
    x = 1,614.29

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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.