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Finding the Fourth Proportional to 2,471.04, 3,705.84 and 1,375.92

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Solution

The fourth proportional to 2,471.04, 3,705.84 and 1,375.92 is: 2,063.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.04 : 3,705.84 = 1,375.92 : x
  2. Step 2: Convert to fraction form
    2,471.04/3,705.84 = 1,375.92/x
  3. Step 3: Cross multiply
    2,471.04x = 3,705.84 × 1,375.92
  4. Step 4: Simplify right side
    2,471.04x = 5,098,939.37
  5. Step 5: Solve for x
    x = 5,098,939.37/2,471.04
  6. Step 6: Final answer
    x = 2,063.48

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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.