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Finding the Fourth Proportional to 1,400, 2,102.40 and 1,327.04

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Solution

The fourth proportional to 1,400, 2,102.40 and 1,327.04 is: 1,992.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400 : 2,102.40 = 1,327.04 : x
  2. Step 2: Convert to fraction form
    1,400/2,102.40 = 1,327.04/x
  3. Step 3: Cross multiply
    1,400x = 2,102.40 × 1,327.04
  4. Step 4: Simplify right side
    1,400x = 2,789,968.90
  5. Step 5: Solve for x
    x = 2,789,968.90/1,400
  6. Step 6: Final answer
    x = 1,992.83

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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.