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Finding the Fourth Proportional to 2,125.07, 3,188.07 and 826.55

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Solution

The fourth proportional to 2,125.07, 3,188.07 and 826.55 is: 1,240.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.07 : 3,188.07 = 826.55 : x
  2. Step 2: Convert to fraction form
    2,125.07/3,188.07 = 826.55/x
  3. Step 3: Cross multiply
    2,125.07x = 3,188.07 × 826.55
  4. Step 4: Simplify right side
    2,125.07x = 2,635,107.23
  5. Step 5: Solve for x
    x = 2,635,107.23/2,125.07
  6. Step 6: Final answer
    x = 1,240.01

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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.