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Finding the Fourth Proportional to 3,143.68, 4,712.06 and 1,581.20

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Solution

The fourth proportional to 3,143.68, 4,712.06 and 1,581.20 is: 2,370.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.68 : 4,712.06 = 1,581.20 : x
  2. Step 2: Convert to fraction form
    3,143.68/4,712.06 = 1,581.20/x
  3. Step 3: Cross multiply
    3,143.68x = 4,712.06 × 1,581.20
  4. Step 4: Simplify right side
    3,143.68x = 7,450,709.27
  5. Step 5: Solve for x
    x = 7,450,709.27/3,143.68
  6. Step 6: Final answer
    x = 2,370.06

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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.