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Finding the Fourth Proportional to 2,135.07, 3,202.60 and 835.63

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Solution

The fourth proportional to 2,135.07, 3,202.60 and 835.63 is: 1,253.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.07 : 3,202.60 = 835.63 : x
  2. Step 2: Convert to fraction form
    2,135.07/3,202.60 = 835.63/x
  3. Step 3: Cross multiply
    2,135.07x = 3,202.60 × 835.63
  4. Step 4: Simplify right side
    2,135.07x = 2,676,188.64
  5. Step 5: Solve for x
    x = 2,676,188.64/2,135.07
  6. Step 6: Final answer
    x = 1,253.44

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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.