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Finding the Fourth Proportional to 2,498.70, 3,447.63 and 1,450.14

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Solution

The fourth proportional to 2,498.70, 3,447.63 and 1,450.14 is: 2,000.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.70 : 3,447.63 = 1,450.14 : x
  2. Step 2: Convert to fraction form
    2,498.70/3,447.63 = 1,450.14/x
  3. Step 3: Cross multiply
    2,498.70x = 3,447.63 × 1,450.14
  4. Step 4: Simplify right side
    2,498.70x = 4,999,546.17
  5. Step 5: Solve for x
    x = 4,999,546.17/2,498.70
  6. Step 6: Final answer
    x = 2,000.86

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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.