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Finding the Fourth Proportional to 4,822.46, 7,233.69 and 1,900.69

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Solution

The fourth proportional to 4,822.46, 7,233.69 and 1,900.69 is: 2,851.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.46 : 7,233.69 = 1,900.69 : x
  2. Step 2: Convert to fraction form
    4,822.46/7,233.69 = 1,900.69/x
  3. Step 3: Cross multiply
    4,822.46x = 7,233.69 × 1,900.69
  4. Step 4: Simplify right side
    4,822.46x = 13,748,991.29
  5. Step 5: Solve for x
    x = 13,748,991.29/4,822.46
  6. Step 6: Final answer
    x = 2,851.03

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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.