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Finding the Fourth Proportional to 1,343.56, 1,855.38 and 1,270.84

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Solution

The fourth proportional to 1,343.56, 1,855.38 and 1,270.84 is: 1,754.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.56 : 1,855.38 = 1,270.84 : x
  2. Step 2: Convert to fraction form
    1,343.56/1,855.38 = 1,270.84/x
  3. Step 3: Cross multiply
    1,343.56x = 1,855.38 × 1,270.84
  4. Step 4: Simplify right side
    1,343.56x = 2,357,891.12
  5. Step 5: Solve for x
    x = 2,357,891.12/1,343.56
  6. Step 6: Final answer
    x = 1,754.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.