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Finding the Fourth Proportional to 2,756.05, 3,792.08 and 2,381.83

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Solution

The fourth proportional to 2,756.05, 3,792.08 and 2,381.83 is: 3,277.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.05 : 3,792.08 = 2,381.83 : x
  2. Step 2: Convert to fraction form
    2,756.05/3,792.08 = 2,381.83/x
  3. Step 3: Cross multiply
    2,756.05x = 3,792.08 × 2,381.83
  4. Step 4: Simplify right side
    2,756.05x = 9,032,086.38
  5. Step 5: Solve for x
    x = 9,032,086.38/2,756.05
  6. Step 6: Final answer
    x = 3,277.19

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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.