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Finding the Fourth Proportional to 3,265.81, 4,506.71 and 1,938.76

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Solution

The fourth proportional to 3,265.81, 4,506.71 and 1,938.76 is: 2,675.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265.81 : 4,506.71 = 1,938.76 : x
  2. Step 2: Convert to fraction form
    3,265.81/4,506.71 = 1,938.76/x
  3. Step 3: Cross multiply
    3,265.81x = 4,506.71 × 1,938.76
  4. Step 4: Simplify right side
    3,265.81x = 8,737,408.12
  5. Step 5: Solve for x
    x = 8,737,408.12/3,265.81
  6. Step 6: Final answer
    x = 2,675.42

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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.