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Finding the Fourth Proportional to 2,768.18, 4,155.03 and 1,989.09

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Solution

The fourth proportional to 2,768.18, 4,155.03 and 1,989.09 is: 2,985.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.18 : 4,155.03 = 1,989.09 : x
  2. Step 2: Convert to fraction form
    2,768.18/4,155.03 = 1,989.09/x
  3. Step 3: Cross multiply
    2,768.18x = 4,155.03 × 1,989.09
  4. Step 4: Simplify right side
    2,768.18x = 8,264,728.62
  5. Step 5: Solve for x
    x = 8,264,728.62/2,768.18
  6. Step 6: Final answer
    x = 2,985.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.