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Finding the Fourth Proportional to 3,397.50, 4,689.12 and 1,999.98

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Solution

The fourth proportional to 3,397.50, 4,689.12 and 1,999.98 is: 2,760.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.50 : 4,689.12 = 1,999.98 : x
  2. Step 2: Convert to fraction form
    3,397.50/4,689.12 = 1,999.98/x
  3. Step 3: Cross multiply
    3,397.50x = 4,689.12 × 1,999.98
  4. Step 4: Simplify right side
    3,397.50x = 9,378,146.22
  5. Step 5: Solve for x
    x = 9,378,146.22/3,397.50
  6. Step 6: Final answer
    x = 2,760.31

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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.