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Finding the Fourth Proportional to 2,494.11, 3,737.06 and 1,977.43

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Solution

The fourth proportional to 2,494.11, 3,737.06 and 1,977.43 is: 2,962.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.11 : 3,737.06 = 1,977.43 : x
  2. Step 2: Convert to fraction form
    2,494.11/3,737.06 = 1,977.43/x
  3. Step 3: Cross multiply
    2,494.11x = 3,737.06 × 1,977.43
  4. Step 4: Simplify right side
    2,494.11x = 7,389,774.56
  5. Step 5: Solve for x
    x = 7,389,774.56/2,494.11
  6. Step 6: Final answer
    x = 2,962.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.