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Finding the Fourth Proportional to 2,140.80, 2,969.41 and 2,083.90

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Solution

The fourth proportional to 2,140.80, 2,969.41 and 2,083.90 is: 2,890.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.80 : 2,969.41 = 2,083.90 : x
  2. Step 2: Convert to fraction form
    2,140.80/2,969.41 = 2,083.90/x
  3. Step 3: Cross multiply
    2,140.80x = 2,969.41 × 2,083.90
  4. Step 4: Simplify right side
    2,140.80x = 6,187,953.50
  5. Step 5: Solve for x
    x = 6,187,953.50/2,140.80
  6. Step 6: Final answer
    x = 2,890.49

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.