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Finding the Fourth Proportional to 1,956.42, 2,699.30 and 1,170.32

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Solution

The fourth proportional to 1,956.42, 2,699.30 and 1,170.32 is: 1,614.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.42 : 2,699.30 = 1,170.32 : x
  2. Step 2: Convert to fraction form
    1,956.42/2,699.30 = 1,170.32/x
  3. Step 3: Cross multiply
    1,956.42x = 2,699.30 × 1,170.32
  4. Step 4: Simplify right side
    1,956.42x = 3,159,044.78
  5. Step 5: Solve for x
    x = 3,159,044.78/1,956.42
  6. Step 6: Final answer
    x = 1,614.71

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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.