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Finding the Fourth Proportional to 2,140.85, 2,954.49 and 1,511.58

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Solution

The fourth proportional to 2,140.85, 2,954.49 and 1,511.58 is: 2,086.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.85 : 2,954.49 = 1,511.58 : x
  2. Step 2: Convert to fraction form
    2,140.85/2,954.49 = 1,511.58/x
  3. Step 3: Cross multiply
    2,140.85x = 2,954.49 × 1,511.58
  4. Step 4: Simplify right side
    2,140.85x = 4,465,947.99
  5. Step 5: Solve for x
    x = 4,465,947.99/2,140.85
  6. Step 6: Final answer
    x = 2,086.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.