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Finding the Fourth Proportional to 2,091.53, 3,133.15 and 1,431.79

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Solution

The fourth proportional to 2,091.53, 3,133.15 and 1,431.79 is: 2,144.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.53 : 3,133.15 = 1,431.79 : x
  2. Step 2: Convert to fraction form
    2,091.53/3,133.15 = 1,431.79/x
  3. Step 3: Cross multiply
    2,091.53x = 3,133.15 × 1,431.79
  4. Step 4: Simplify right side
    2,091.53x = 4,486,001.43
  5. Step 5: Solve for x
    x = 4,486,001.43/2,091.53
  6. Step 6: Final answer
    x = 2,144.84

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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.