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Finding the Fourth Proportional to 2,499.94, 3,749.01 and 744.49

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Solution

The fourth proportional to 2,499.94, 3,749.01 and 744.49 is: 1,116.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.94 : 3,749.01 = 744.49 : x
  2. Step 2: Convert to fraction form
    2,499.94/3,749.01 = 744.49/x
  3. Step 3: Cross multiply
    2,499.94x = 3,749.01 × 744.49
  4. Step 4: Simplify right side
    2,499.94x = 2,791,100.45
  5. Step 5: Solve for x
    x = 2,791,100.45/2,499.94
  6. Step 6: Final answer
    x = 1,116.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.