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Finding the Fourth Proportional to 2,999.40, 4,133.31 and 2,158.62

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Solution

The fourth proportional to 2,999.40, 4,133.31 and 2,158.62 is: 2,974.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.40 : 4,133.31 = 2,158.62 : x
  2. Step 2: Convert to fraction form
    2,999.40/4,133.31 = 2,158.62/x
  3. Step 3: Cross multiply
    2,999.40x = 4,133.31 × 2,158.62
  4. Step 4: Simplify right side
    2,999.40x = 8,922,245.63
  5. Step 5: Solve for x
    x = 8,922,245.63/2,999.40
  6. Step 6: Final answer
    x = 2,974.68

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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.