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Finding the Fourth Proportional to 2,098.47, 3,149.28 and 1,692.48

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Solution

The fourth proportional to 2,098.47, 3,149.28 and 1,692.48 is: 2,539.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.47 : 3,149.28 = 1,692.48 : x
  2. Step 2: Convert to fraction form
    2,098.47/3,149.28 = 1,692.48/x
  3. Step 3: Cross multiply
    2,098.47x = 3,149.28 × 1,692.48
  4. Step 4: Simplify right side
    2,098.47x = 5,330,093.41
  5. Step 5: Solve for x
    x = 5,330,093.41/2,098.47
  6. Step 6: Final answer
    x = 2,539.99

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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.