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Finding the Fourth Proportional to 2,699.89, 3,725.90 and 1,520.96

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Solution

The fourth proportional to 2,699.89, 3,725.90 and 1,520.96 is: 2,098.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.89 : 3,725.90 = 1,520.96 : x
  2. Step 2: Convert to fraction form
    2,699.89/3,725.90 = 1,520.96/x
  3. Step 3: Cross multiply
    2,699.89x = 3,725.90 × 1,520.96
  4. Step 4: Simplify right side
    2,699.89x = 5,666,961.01
  5. Step 5: Solve for x
    x = 5,666,961.01/2,699.89
  6. Step 6: Final answer
    x = 2,098.96

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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.