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Finding the Fourth Proportional to 1,692.18, 2,538.27 and 912.83

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Solution

The fourth proportional to 1,692.18, 2,538.27 and 912.83 is: 1,369.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.18 : 2,538.27 = 912.83 : x
  2. Step 2: Convert to fraction form
    1,692.18/2,538.27 = 912.83/x
  3. Step 3: Cross multiply
    1,692.18x = 2,538.27 × 912.83
  4. Step 4: Simplify right side
    1,692.18x = 2,316,996.31
  5. Step 5: Solve for x
    x = 2,316,996.31/1,692.18
  6. Step 6: Final answer
    x = 1,369.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.