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Finding the Fourth Proportional to 2,986.67, 4,122.12 and 1,728.50

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Solution

The fourth proportional to 2,986.67, 4,122.12 and 1,728.50 is: 2,385.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.67 : 4,122.12 = 1,728.50 : x
  2. Step 2: Convert to fraction form
    2,986.67/4,122.12 = 1,728.50/x
  3. Step 3: Cross multiply
    2,986.67x = 4,122.12 × 1,728.50
  4. Step 4: Simplify right side
    2,986.67x = 7,125,080.10
  5. Step 5: Solve for x
    x = 7,125,080.10/2,986.67
  6. Step 6: Final answer
    x = 2,385.62

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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.