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Finding the Fourth Proportional to 2,675.90, 3,692.50 and 1,628.30

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Solution

The fourth proportional to 2,675.90, 3,692.50 and 1,628.30 is: 2,246.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.90 : 3,692.50 = 1,628.30 : x
  2. Step 2: Convert to fraction form
    2,675.90/3,692.50 = 1,628.30/x
  3. Step 3: Cross multiply
    2,675.90x = 3,692.50 × 1,628.30
  4. Step 4: Simplify right side
    2,675.90x = 6,012,475.22
  5. Step 5: Solve for x
    x = 6,012,475.22/2,675.90
  6. Step 6: Final answer
    x = 2,246.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.