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Finding the Fourth Proportional to 1,425.78, 2,134.79 and 1,343.84

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Solution

The fourth proportional to 1,425.78, 2,134.79 and 1,343.84 is: 2,012.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.78 : 2,134.79 = 1,343.84 : x
  2. Step 2: Convert to fraction form
    1,425.78/2,134.79 = 1,343.84/x
  3. Step 3: Cross multiply
    1,425.78x = 2,134.79 × 1,343.84
  4. Step 4: Simplify right side
    1,425.78x = 2,868,803.84
  5. Step 5: Solve for x
    x = 2,868,803.84/1,425.78
  6. Step 6: Final answer
    x = 2,012.09

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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.