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Finding the Fourth Proportional to 2,458.68, 3,393 and 1,410.78

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Solution

The fourth proportional to 2,458.68, 3,393 and 1,410.78 is: 1,946.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.68 : 3,393 = 1,410.78 : x
  2. Step 2: Convert to fraction form
    2,458.68/3,393 = 1,410.78/x
  3. Step 3: Cross multiply
    2,458.68x = 3,393 × 1,410.78
  4. Step 4: Simplify right side
    2,458.68x = 4,786,776.54
  5. Step 5: Solve for x
    x = 4,786,776.54/2,458.68
  6. Step 6: Final answer
    x = 1,946.89

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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.