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Finding the Fourth Proportional to 1,692.16, 2,538.65 and 537.91

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Solution

The fourth proportional to 1,692.16, 2,538.65 and 537.91 is: 806.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.16 : 2,538.65 = 537.91 : x
  2. Step 2: Convert to fraction form
    1,692.16/2,538.65 = 537.91/x
  3. Step 3: Cross multiply
    1,692.16x = 2,538.65 × 537.91
  4. Step 4: Simplify right side
    1,692.16x = 1,365,562.53
  5. Step 5: Solve for x
    x = 1,365,562.53/1,692.16
  6. Step 6: Final answer
    x = 806.99

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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.