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Finding the Fourth Proportional to 2,074.96, 3,096.18 and 1,857.04

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Solution

The fourth proportional to 2,074.96, 3,096.18 and 1,857.04 is: 2,771.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.96 : 3,096.18 = 1,857.04 : x
  2. Step 2: Convert to fraction form
    2,074.96/3,096.18 = 1,857.04/x
  3. Step 3: Cross multiply
    2,074.96x = 3,096.18 × 1,857.04
  4. Step 4: Simplify right side
    2,074.96x = 5,749,730.11
  5. Step 5: Solve for x
    x = 5,749,730.11/2,074.96
  6. Step 6: Final answer
    x = 2,771.01

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Why These Related Problems?

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