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Finding the Fourth Proportional to 2,140.92, 3,214.62 and 1,899

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Solution

The fourth proportional to 2,140.92, 3,214.62 and 1,899 is: 2,851.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.92 : 3,214.62 = 1,899 : x
  2. Step 2: Convert to fraction form
    2,140.92/3,214.62 = 1,899/x
  3. Step 3: Cross multiply
    2,140.92x = 3,214.62 × 1,899
  4. Step 4: Simplify right side
    2,140.92x = 6,104,563.38
  5. Step 5: Solve for x
    x = 6,104,563.38/2,140.92
  6. Step 6: Final answer
    x = 2,851.37

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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.