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Finding the Fourth Proportional to 2,133.40, 3,192.90 and 1,874.20

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Solution

The fourth proportional to 2,133.40, 3,192.90 and 1,874.20 is: 2,804.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.40 : 3,192.90 = 1,874.20 : x
  2. Step 2: Convert to fraction form
    2,133.40/3,192.90 = 1,874.20/x
  3. Step 3: Cross multiply
    2,133.40x = 3,192.90 × 1,874.20
  4. Step 4: Simplify right side
    2,133.40x = 5,984,133.18
  5. Step 5: Solve for x
    x = 5,984,133.18/2,133.40
  6. Step 6: Final answer
    x = 2,804.97

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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.