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Finding the Fourth Proportional to 3,115.89, 4,299.87 and 1,699.59

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Solution

The fourth proportional to 3,115.89, 4,299.87 and 1,699.59 is: 2,345.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.89 : 4,299.87 = 1,699.59 : x
  2. Step 2: Convert to fraction form
    3,115.89/4,299.87 = 1,699.59/x
  3. Step 3: Cross multiply
    3,115.89x = 4,299.87 × 1,699.59
  4. Step 4: Simplify right side
    3,115.89x = 7,308,016.05
  5. Step 5: Solve for x
    x = 7,308,016.05/3,115.89
  6. Step 6: Final answer
    x = 2,345.40

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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.