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Finding the Fourth Proportional to 3,143.84, 4,719.18 and 1,829.03

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Solution

The fourth proportional to 3,143.84, 4,719.18 and 1,829.03 is: 2,745.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.84 : 4,719.18 = 1,829.03 : x
  2. Step 2: Convert to fraction form
    3,143.84/4,719.18 = 1,829.03/x
  3. Step 3: Cross multiply
    3,143.84x = 4,719.18 × 1,829.03
  4. Step 4: Simplify right side
    3,143.84x = 8,631,521.80
  5. Step 5: Solve for x
    x = 8,631,521.80/3,143.84
  6. Step 6: Final answer
    x = 2,745.53

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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.