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Finding the Fourth Proportional to 2,898.73, 3,990.56 and 2,766.50

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Solution

The fourth proportional to 2,898.73, 3,990.56 and 2,766.50 is: 3,808.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.73 : 3,990.56 = 2,766.50 : x
  2. Step 2: Convert to fraction form
    2,898.73/3,990.56 = 2,766.50/x
  3. Step 3: Cross multiply
    2,898.73x = 3,990.56 × 2,766.50
  4. Step 4: Simplify right side
    2,898.73x = 11,039,866.02
  5. Step 5: Solve for x
    x = 11,039,866.02/2,898.73
  6. Step 6: Final answer
    x = 3,808.52

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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.