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Finding the Fourth Proportional to 2,956.81, 4,082.05 and 2,159.34

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Solution

The fourth proportional to 2,956.81, 4,082.05 and 2,159.34 is: 2,981.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.81 : 4,082.05 = 2,159.34 : x
  2. Step 2: Convert to fraction form
    2,956.81/4,082.05 = 2,159.34/x
  3. Step 3: Cross multiply
    2,956.81x = 4,082.05 × 2,159.34
  4. Step 4: Simplify right side
    2,956.81x = 8,814,532.05
  5. Step 5: Solve for x
    x = 8,814,532.05/2,956.81
  6. Step 6: Final answer
    x = 2,981.09

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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.