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Finding the Fourth Proportional to 2,158.38, 2,977.14 and 1,994.34

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Solution

The fourth proportional to 2,158.38, 2,977.14 and 1,994.34 is: 2,750.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.38 : 2,977.14 = 1,994.34 : x
  2. Step 2: Convert to fraction form
    2,158.38/2,977.14 = 1,994.34/x
  3. Step 3: Cross multiply
    2,158.38x = 2,977.14 × 1,994.34
  4. Step 4: Simplify right side
    2,158.38x = 5,937,429.39
  5. Step 5: Solve for x
    x = 5,937,429.39/2,158.38
  6. Step 6: Final answer
    x = 2,750.87

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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.