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Finding the Fourth Proportional to 2,873.16, 3,956.04 and 2,166

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Solution

The fourth proportional to 2,873.16, 3,956.04 and 2,166 is: 2,982.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.16 : 3,956.04 = 2,166 : x
  2. Step 2: Convert to fraction form
    2,873.16/3,956.04 = 2,166/x
  3. Step 3: Cross multiply
    2,873.16x = 3,956.04 × 2,166
  4. Step 4: Simplify right side
    2,873.16x = 8,568,782.64
  5. Step 5: Solve for x
    x = 8,568,782.64/2,873.16
  6. Step 6: Final answer
    x = 2,982.35

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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.