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Finding the Fourth Proportional to 3,143.44, 4,711.44 and 1,756.72

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Solution

The fourth proportional to 3,143.44, 4,711.44 and 1,756.72 is: 2,633.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.44 : 4,711.44 = 1,756.72 : x
  2. Step 2: Convert to fraction form
    3,143.44/4,711.44 = 1,756.72/x
  3. Step 3: Cross multiply
    3,143.44x = 4,711.44 × 1,756.72
  4. Step 4: Simplify right side
    3,143.44x = 8,276,680.88
  5. Step 5: Solve for x
    x = 8,276,680.88/3,143.44
  6. Step 6: Final answer
    x = 2,633.00

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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.