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Finding the Fourth Proportional to 2,538.92, 3,805.94 and 977.78

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Solution

The fourth proportional to 2,538.92, 3,805.94 and 977.78 is: 1,465.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.92 : 3,805.94 = 977.78 : x
  2. Step 2: Convert to fraction form
    2,538.92/3,805.94 = 977.78/x
  3. Step 3: Cross multiply
    2,538.92x = 3,805.94 × 977.78
  4. Step 4: Simplify right side
    2,538.92x = 3,721,355.43
  5. Step 5: Solve for x
    x = 3,721,355.43/2,538.92
  6. Step 6: Final answer
    x = 1,465.73

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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.