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Finding the Fourth Proportional to 2,458.79, 3,396.57 and 1,712.38

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Solution

The fourth proportional to 2,458.79, 3,396.57 and 1,712.38 is: 2,365.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.79 : 3,396.57 = 1,712.38 : x
  2. Step 2: Convert to fraction form
    2,458.79/3,396.57 = 1,712.38/x
  3. Step 3: Cross multiply
    2,458.79x = 3,396.57 × 1,712.38
  4. Step 4: Simplify right side
    2,458.79x = 5,816,218.54
  5. Step 5: Solve for x
    x = 5,816,218.54/2,458.79
  6. Step 6: Final answer
    x = 2,365.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.