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Finding the Fourth Proportional to 2,558.07, 3,837.71 and 826.70

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Solution

The fourth proportional to 2,558.07, 3,837.71 and 826.70 is: 1,240.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.07 : 3,837.71 = 826.70 : x
  2. Step 2: Convert to fraction form
    2,558.07/3,837.71 = 826.70/x
  3. Step 3: Cross multiply
    2,558.07x = 3,837.71 × 826.70
  4. Step 4: Simplify right side
    2,558.07x = 3,172,611.53
  5. Step 5: Solve for x
    x = 3,172,611.53/2,558.07
  6. Step 6: Final answer
    x = 1,240.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.