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Finding the Fourth Proportional to 2,999.29, 4,494.70 and 2,258.41

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Solution

The fourth proportional to 2,999.29, 4,494.70 and 2,258.41 is: 3,384.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.29 : 4,494.70 = 2,258.41 : x
  2. Step 2: Convert to fraction form
    2,999.29/4,494.70 = 2,258.41/x
  3. Step 3: Cross multiply
    2,999.29x = 4,494.70 × 2,258.41
  4. Step 4: Simplify right side
    2,999.29x = 10,150,875.43
  5. Step 5: Solve for x
    x = 10,150,875.43/2,999.29
  6. Step 6: Final answer
    x = 3,384.43

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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.