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Finding the Fourth Proportional to 1,692.37, 2,538.69 and 538.12

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Solution

The fourth proportional to 1,692.37, 2,538.69 and 538.12 is: 807.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.37 : 2,538.69 = 538.12 : x
  2. Step 2: Convert to fraction form
    1,692.37/2,538.69 = 538.12/x
  3. Step 3: Cross multiply
    1,692.37x = 2,538.69 × 538.12
  4. Step 4: Simplify right side
    1,692.37x = 1,366,119.86
  5. Step 5: Solve for x
    x = 1,366,119.86/1,692.37
  6. Step 6: Final answer
    x = 807.22

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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.