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Finding the Fourth Proportional to 2,111.42, 3,164.07 and 1,456.94

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Solution

The fourth proportional to 2,111.42, 3,164.07 and 1,456.94 is: 2,183.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.42 : 3,164.07 = 1,456.94 : x
  2. Step 2: Convert to fraction form
    2,111.42/3,164.07 = 1,456.94/x
  3. Step 3: Cross multiply
    2,111.42x = 3,164.07 × 1,456.94
  4. Step 4: Simplify right side
    2,111.42x = 4,609,860.15
  5. Step 5: Solve for x
    x = 4,609,860.15/2,111.42
  6. Step 6: Final answer
    x = 2,183.30

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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.