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Finding the Fourth Proportional to 2,986.74, 4,122.09 and 2,043.50

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Solution

The fourth proportional to 2,986.74, 4,122.09 and 2,043.50 is: 2,820.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.74 : 4,122.09 = 2,043.50 : x
  2. Step 2: Convert to fraction form
    2,986.74/4,122.09 = 2,043.50/x
  3. Step 3: Cross multiply
    2,986.74x = 4,122.09 × 2,043.50
  4. Step 4: Simplify right side
    2,986.74x = 8,423,470.30
  5. Step 5: Solve for x
    x = 8,423,470.30/2,986.74
  6. Step 6: Final answer
    x = 2,820.29

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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.