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Finding the Fourth Proportional to 2,692.64, 4,040 and 1,523.96

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Solution

The fourth proportional to 2,692.64, 4,040 and 1,523.96 is: 2,286.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.64 : 4,040 = 1,523.96 : x
  2. Step 2: Convert to fraction form
    2,692.64/4,040 = 1,523.96/x
  3. Step 3: Cross multiply
    2,692.64x = 4,040 × 1,523.96
  4. Step 4: Simplify right side
    2,692.64x = 6,156,798.40
  5. Step 5: Solve for x
    x = 6,156,798.40/2,692.64
  6. Step 6: Final answer
    x = 2,286.53

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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.