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Finding the Fourth Proportional to 3,215.42, 4,823.94 and 1,900.26

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Solution

The fourth proportional to 3,215.42, 4,823.94 and 1,900.26 is: 2,850.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215.42 : 4,823.94 = 1,900.26 : x
  2. Step 2: Convert to fraction form
    3,215.42/4,823.94 = 1,900.26/x
  3. Step 3: Cross multiply
    3,215.42x = 4,823.94 × 1,900.26
  4. Step 4: Simplify right side
    3,215.42x = 9,166,740.22
  5. Step 5: Solve for x
    x = 9,166,740.22/3,215.42
  6. Step 6: Final answer
    x = 2,850.87

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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.