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Finding the Fourth Proportional to 2,504.57, 3,756.94 and 749.59

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Solution

The fourth proportional to 2,504.57, 3,756.94 and 749.59 is: 1,124.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.57 : 3,756.94 = 749.59 : x
  2. Step 2: Convert to fraction form
    2,504.57/3,756.94 = 749.59/x
  3. Step 3: Cross multiply
    2,504.57x = 3,756.94 × 749.59
  4. Step 4: Simplify right side
    2,504.57x = 2,816,153.39
  5. Step 5: Solve for x
    x = 2,816,153.39/2,504.57
  6. Step 6: Final answer
    x = 1,124.41

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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.