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Finding the Fourth Proportional to 2,692.37, 4,038.54 and 744.57

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Solution

The fourth proportional to 2,692.37, 4,038.54 and 744.57 is: 1,116.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.37 : 4,038.54 = 744.57 : x
  2. Step 2: Convert to fraction form
    2,692.37/4,038.54 = 744.57/x
  3. Step 3: Cross multiply
    2,692.37x = 4,038.54 × 744.57
  4. Step 4: Simplify right side
    2,692.37x = 3,006,975.73
  5. Step 5: Solve for x
    x = 3,006,975.73/2,692.37
  6. Step 6: Final answer
    x = 1,116.85

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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.