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Finding the Fourth Proportional to 1,979.70, 2,956.10 and 1,771.93

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Solution

The fourth proportional to 1,979.70, 2,956.10 and 1,771.93 is: 2,645.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.70 : 2,956.10 = 1,771.93 : x
  2. Step 2: Convert to fraction form
    1,979.70/2,956.10 = 1,771.93/x
  3. Step 3: Cross multiply
    1,979.70x = 2,956.10 × 1,771.93
  4. Step 4: Simplify right side
    1,979.70x = 5,238,002.27
  5. Step 5: Solve for x
    x = 5,238,002.27/1,979.70
  6. Step 6: Final answer
    x = 2,645.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.