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Finding the Fourth Proportional to 1,845.44, 2,753.98 and 1,648.38

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Solution

The fourth proportional to 1,845.44, 2,753.98 and 1,648.38 is: 2,459.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.44 : 2,753.98 = 1,648.38 : x
  2. Step 2: Convert to fraction form
    1,845.44/2,753.98 = 1,648.38/x
  3. Step 3: Cross multiply
    1,845.44x = 2,753.98 × 1,648.38
  4. Step 4: Simplify right side
    1,845.44x = 4,539,605.55
  5. Step 5: Solve for x
    x = 4,539,605.55/1,845.44
  6. Step 6: Final answer
    x = 2,459.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.