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Finding the Fourth Proportional to 2,473.96, 3,697.49 and 1,955.56

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Solution

The fourth proportional to 2,473.96, 3,697.49 and 1,955.56 is: 2,922.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.96 : 3,697.49 = 1,955.56 : x
  2. Step 2: Convert to fraction form
    2,473.96/3,697.49 = 1,955.56/x
  3. Step 3: Cross multiply
    2,473.96x = 3,697.49 × 1,955.56
  4. Step 4: Simplify right side
    2,473.96x = 7,230,663.54
  5. Step 5: Solve for x
    x = 7,230,663.54/2,473.96
  6. Step 6: Final answer
    x = 2,922.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.