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Finding the Fourth Proportional to 2,499.08, 3,749.24 and 744.08

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Solution

The fourth proportional to 2,499.08, 3,749.24 and 744.08 is: 1,116.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.08 : 3,749.24 = 744.08 : x
  2. Step 2: Convert to fraction form
    2,499.08/3,749.24 = 744.08/x
  3. Step 3: Cross multiply
    2,499.08x = 3,749.24 × 744.08
  4. Step 4: Simplify right side
    2,499.08x = 2,789,714.82
  5. Step 5: Solve for x
    x = 2,789,714.82/2,499.08
  6. Step 6: Final answer
    x = 1,116.30

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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.