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Finding the Fourth Proportional to 2,557.41, 3,836.21 and 708.37

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Solution

The fourth proportional to 2,557.41, 3,836.21 and 708.37 is: 1,062.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.41 : 3,836.21 = 708.37 : x
  2. Step 2: Convert to fraction form
    2,557.41/3,836.21 = 708.37/x
  3. Step 3: Cross multiply
    2,557.41x = 3,836.21 × 708.37
  4. Step 4: Simplify right side
    2,557.41x = 2,717,456.08
  5. Step 5: Solve for x
    x = 2,717,456.08/2,557.41
  6. Step 6: Final answer
    x = 1,062.58

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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.