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Finding the Fourth Proportional to 1,474.67, 2,214.38 and 1,400.66

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Solution

The fourth proportional to 1,474.67, 2,214.38 and 1,400.66 is: 2,103.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.67 : 2,214.38 = 1,400.66 : x
  2. Step 2: Convert to fraction form
    1,474.67/2,214.38 = 1,400.66/x
  3. Step 3: Cross multiply
    1,474.67x = 2,214.38 × 1,400.66
  4. Step 4: Simplify right side
    1,474.67x = 3,101,575.42
  5. Step 5: Solve for x
    x = 3,101,575.42/1,474.67
  6. Step 6: Final answer
    x = 2,103.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.