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Finding the Fourth Proportional to 2,458.67, 3,688.00 and 727.29

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Solution

The fourth proportional to 2,458.67, 3,688.00 and 727.29 is: 1,090.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.67 : 3,688.00 = 727.29 : x
  2. Step 2: Convert to fraction form
    2,458.67/3,688.00 = 727.29/x
  3. Step 3: Cross multiply
    2,458.67x = 3,688.00 × 727.29
  4. Step 4: Simplify right side
    2,458.67x = 2,682,256.56
  5. Step 5: Solve for x
    x = 2,682,256.56/2,458.67
  6. Step 6: Final answer
    x = 1,090.94

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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.