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Finding the Fourth Proportional to 2,773.38, 3,828.78 and 1,877.76

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Solution

The fourth proportional to 2,773.38, 3,828.78 and 1,877.76 is: 2,592.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.38 : 3,828.78 = 1,877.76 : x
  2. Step 2: Convert to fraction form
    2,773.38/3,828.78 = 1,877.76/x
  3. Step 3: Cross multiply
    2,773.38x = 3,828.78 × 1,877.76
  4. Step 4: Simplify right side
    2,773.38x = 7,189,529.93
  5. Step 5: Solve for x
    x = 7,189,529.93/2,773.38
  6. Step 6: Final answer
    x = 2,592.33

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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.