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Finding the Fourth Proportional to 2,499.96, 3,749.94 and 1,131

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Solution

The fourth proportional to 2,499.96, 3,749.94 and 1,131 is: 1,696.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.96 : 3,749.94 = 1,131 : x
  2. Step 2: Convert to fraction form
    2,499.96/3,749.94 = 1,131/x
  3. Step 3: Cross multiply
    2,499.96x = 3,749.94 × 1,131
  4. Step 4: Simplify right side
    2,499.96x = 4,241,182.14
  5. Step 5: Solve for x
    x = 4,241,182.14/2,499.96
  6. Step 6: Final answer
    x = 1,696.50

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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.