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Finding the Fourth Proportional to 2,499.54, 3,748.73 and 744.38

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Solution

The fourth proportional to 2,499.54, 3,748.73 and 744.38 is: 1,116.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.54 : 3,748.73 = 744.38 : x
  2. Step 2: Convert to fraction form
    2,499.54/3,748.73 = 744.38/x
  3. Step 3: Cross multiply
    2,499.54x = 3,748.73 × 744.38
  4. Step 4: Simplify right side
    2,499.54x = 2,790,494.60
  5. Step 5: Solve for x
    x = 2,790,494.60/2,499.54
  6. Step 6: Final answer
    x = 1,116.40

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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.