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Finding the Fourth Proportional to 2,495.52, 3,744.60 and 1,196.76

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Solution

The fourth proportional to 2,495.52, 3,744.60 and 1,196.76 is: 1,795.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.52 : 3,744.60 = 1,196.76 : x
  2. Step 2: Convert to fraction form
    2,495.52/3,744.60 = 1,196.76/x
  3. Step 3: Cross multiply
    2,495.52x = 3,744.60 × 1,196.76
  4. Step 4: Simplify right side
    2,495.52x = 4,481,387.50
  5. Step 5: Solve for x
    x = 4,481,387.50/2,495.52
  6. Step 6: Final answer
    x = 1,795.77

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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.