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Finding the Fourth Proportional to 3,167.02, 4,750.74 and 1,219.23

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Solution

The fourth proportional to 3,167.02, 4,750.74 and 1,219.23 is: 1,828.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.02 : 4,750.74 = 1,219.23 : x
  2. Step 2: Convert to fraction form
    3,167.02/4,750.74 = 1,219.23/x
  3. Step 3: Cross multiply
    3,167.02x = 4,750.74 × 1,219.23
  4. Step 4: Simplify right side
    3,167.02x = 5,792,244.73
  5. Step 5: Solve for x
    x = 5,792,244.73/3,167.02
  6. Step 6: Final answer
    x = 1,828.93

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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.