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Finding the Fourth Proportional to 2,449.10, 3,673.60 and 804.98

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Solution

The fourth proportional to 2,449.10, 3,673.60 and 804.98 is: 1,207.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.10 : 3,673.60 = 804.98 : x
  2. Step 2: Convert to fraction form
    2,449.10/3,673.60 = 804.98/x
  3. Step 3: Cross multiply
    2,449.10x = 3,673.60 × 804.98
  4. Step 4: Simplify right side
    2,449.10x = 2,957,174.53
  5. Step 5: Solve for x
    x = 2,957,174.53/2,449.10
  6. Step 6: Final answer
    x = 1,207.45

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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.