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Finding the Fourth Proportional to 3,143.46, 4,713.36 and 1,292.48

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Solution

The fourth proportional to 3,143.46, 4,713.36 and 1,292.48 is: 1,937.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.46 : 4,713.36 = 1,292.48 : x
  2. Step 2: Convert to fraction form
    3,143.46/4,713.36 = 1,292.48/x
  3. Step 3: Cross multiply
    3,143.46x = 4,713.36 × 1,292.48
  4. Step 4: Simplify right side
    3,143.46x = 6,091,936.96
  5. Step 5: Solve for x
    x = 6,091,936.96/3,143.46
  6. Step 6: Final answer
    x = 1,937.97

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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.