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Finding the Fourth Proportional to 3,086.67, 4,259.68 and 1,760.50

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Solution

The fourth proportional to 3,086.67, 4,259.68 and 1,760.50 is: 2,429.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.67 : 4,259.68 = 1,760.50 : x
  2. Step 2: Convert to fraction form
    3,086.67/4,259.68 = 1,760.50/x
  3. Step 3: Cross multiply
    3,086.67x = 4,259.68 × 1,760.50
  4. Step 4: Simplify right side
    3,086.67x = 7,499,166.64
  5. Step 5: Solve for x
    x = 7,499,166.64/3,086.67
  6. Step 6: Final answer
    x = 2,429.53

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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.