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Finding the Fourth Proportional to 3,143.43, 4,338.14 and 1,817.46

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Solution

The fourth proportional to 3,143.43, 4,338.14 and 1,817.46 is: 2,508.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.43 : 4,338.14 = 1,817.46 : x
  2. Step 2: Convert to fraction form
    3,143.43/4,338.14 = 1,817.46/x
  3. Step 3: Cross multiply
    3,143.43x = 4,338.14 × 1,817.46
  4. Step 4: Simplify right side
    3,143.43x = 7,884,386.84
  5. Step 5: Solve for x
    x = 7,884,386.84/3,143.43
  6. Step 6: Final answer
    x = 2,508.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.