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Finding the Fourth Proportional to 1,404.02, 1,935.23 and 1,286.37

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Solution

The fourth proportional to 1,404.02, 1,935.23 and 1,286.37 is: 1,773.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.02 : 1,935.23 = 1,286.37 : x
  2. Step 2: Convert to fraction form
    1,404.02/1,935.23 = 1,286.37/x
  3. Step 3: Cross multiply
    1,404.02x = 1,935.23 × 1,286.37
  4. Step 4: Simplify right side
    1,404.02x = 2,489,415.38
  5. Step 5: Solve for x
    x = 2,489,415.38/1,404.02
  6. Step 6: Final answer
    x = 1,773.06

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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.