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Finding the Fourth Proportional to 3,141.64, 4,708.36 and 1,754.92

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Solution

The fourth proportional to 3,141.64, 4,708.36 and 1,754.92 is: 2,630.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.64 : 4,708.36 = 1,754.92 : x
  2. Step 2: Convert to fraction form
    3,141.64/4,708.36 = 1,754.92/x
  3. Step 3: Cross multiply
    3,141.64x = 4,708.36 × 1,754.92
  4. Step 4: Simplify right side
    3,141.64x = 8,262,795.13
  5. Step 5: Solve for x
    x = 8,262,795.13/3,141.64
  6. Step 6: Final answer
    x = 2,630.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.