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Finding the Fourth Proportional to 2,458.42, 3,687.63 and 727.04

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Solution

The fourth proportional to 2,458.42, 3,687.63 and 727.04 is: 1,090.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.42 : 3,687.63 = 727.04 : x
  2. Step 2: Convert to fraction form
    2,458.42/3,687.63 = 727.04/x
  3. Step 3: Cross multiply
    2,458.42x = 3,687.63 × 727.04
  4. Step 4: Simplify right side
    2,458.42x = 2,681,061.01
  5. Step 5: Solve for x
    x = 2,681,061.01/2,458.42
  6. Step 6: Final answer
    x = 1,090.56

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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.