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Finding the Fourth Proportional to 2,091.94, 3,140.18 and 1,573.42

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Solution

The fourth proportional to 2,091.94, 3,140.18 and 1,573.42 is: 2,361.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.94 : 3,140.18 = 1,573.42 : x
  2. Step 2: Convert to fraction form
    2,091.94/3,140.18 = 1,573.42/x
  3. Step 3: Cross multiply
    2,091.94x = 3,140.18 × 1,573.42
  4. Step 4: Simplify right side
    2,091.94x = 4,940,822.02
  5. Step 5: Solve for x
    x = 4,940,822.02/2,091.94
  6. Step 6: Final answer
    x = 2,361.84

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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.