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Finding the Fourth Proportional to 1,692.42, 2,534.97 and 1,651.11

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Solution

The fourth proportional to 1,692.42, 2,534.97 and 1,651.11 is: 2,473.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.42 : 2,534.97 = 1,651.11 : x
  2. Step 2: Convert to fraction form
    1,692.42/2,534.97 = 1,651.11/x
  3. Step 3: Cross multiply
    1,692.42x = 2,534.97 × 1,651.11
  4. Step 4: Simplify right side
    1,692.42x = 4,185,514.32
  5. Step 5: Solve for x
    x = 4,185,514.32/1,692.42
  6. Step 6: Final answer
    x = 2,473.09

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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.