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Finding the Fourth Proportional to 2,861.61, 3,956.24 and 2,114.38

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Solution

The fourth proportional to 2,861.61, 3,956.24 and 2,114.38 is: 2,923.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.61 : 3,956.24 = 2,114.38 : x
  2. Step 2: Convert to fraction form
    2,861.61/3,956.24 = 2,114.38/x
  3. Step 3: Cross multiply
    2,861.61x = 3,956.24 × 2,114.38
  4. Step 4: Simplify right side
    2,861.61x = 8,364,994.73
  5. Step 5: Solve for x
    x = 8,364,994.73/2,861.61
  6. Step 6: Final answer
    x = 2,923.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.