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Finding the Fourth Proportional to 1,956.98, 2,700.63 and 1,160.85

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Solution

The fourth proportional to 1,956.98, 2,700.63 and 1,160.85 is: 1,601.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.98 : 2,700.63 = 1,160.85 : x
  2. Step 2: Convert to fraction form
    1,956.98/2,700.63 = 1,160.85/x
  3. Step 3: Cross multiply
    1,956.98x = 2,700.63 × 1,160.85
  4. Step 4: Simplify right side
    1,956.98x = 3,135,032.11
  5. Step 5: Solve for x
    x = 3,135,032.11/1,956.98
  6. Step 6: Final answer
    x = 1,601.97

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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.